Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

Tutors Answer Your Questions about Square-cubic-other-roots (FREE)

Question 703460: Square root of 3 times the square root of three times the square root of four
Answer by Osagie(1)

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Using the application of surd.
Sqt3 x sqt3 x sqt4
sqt3 x sqt3=sqt9
sqt9=3
sqt4=2
so therefore
3 x 2=6

Question 751329: I need to know more about Algebra to pass the ASVAB test to enter the military
Answer by MathTherapy(1424)

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I need to know more about Algebra to pass the ASVAB test to enter the military

I can recommend you to a specialist. Besides tutoring the ASVAB, she's a veteran. She specializes in online tutoring which is quite convenient for most, and resides in Brooklyn, NY.

E-Mail me if you want her info.

You can do the check!!

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

Question 751196: what is the real cubic square root of square root 80n to the fifth power ?
Answer by tommyt3rd(570)

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Please repost with clearer instructions (do you mean cube roots or square root - they are different and I've never heard of a cubic square root)

:)

Question 751038: solve x - sqrt15-2x = 0
Answer by lwsshak3(6505)

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solve x - sqrt15-2x = 0
x=-√15
x^2=15
x=±√15

Question 751034: solve x - 2 sqrt(x) = 35
Answer by lwsshak3(6505)

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solve x - 2 sqrt(x) = 35
x-2√x=35
let u=√x
u^2=x
u^2-2x-35=0
(u-7)(u+5)=0
u=7=√x
x=49
check:49-2√49=49-14=35
..
u=-5=√x
x=25
check:25-2√25=25-10=15 (extraneous root)

Question 750728: cube root of 368
Answer by jim_thompson5910(28595)

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root%283%2C368%29+=+root%283%2C8%2A46%29

root%283%2C368%29+=+root%283%2C8%29%2Aroot%283%2C46%29

root%283%2C368%29+=+root%283%2C2%5E3%29%2Aroot%283%2C46%29

root%283%2C368%29+=+2%2Aroot%283%2C46%29

Question 750509: Please help me solve this equation: x^3= 716.2
I need to find x.
Answer by jim_thompson5910(28595)

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x^3= 716.2

(x^3)^(1/3)= (716.2 )^(1/3) ... raise both sides to the 1/3 power

x = (716.2 )^(1/3)

x = 8.94701376606746 ... Use a calculator to evaluate the right side (this is approximate)

Question 750194: Find the distance between d(P1, P2) between the points P1 and P2.
P1 = (3, -4); P2 = (5, 4)
Answer by Alan3354(30993)

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Find the distance between d(P1, P2) between the points P1 and P2.
P1 = (3,-4); P2 = (5,4)
------------
d%5E2+=+diffy%5E2+%2B+diffx%5E2

Question 750116: what is the square root of 841 i am stuck i am not getting the answer i am getting
42 an if you got the answer pls tell me th method
Answer by KMST(1868)

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841

is close to and a little less than 900=30%5E2

makes

%2830-x%29%5E2=900-60%2A1%2B1%5E2=90-60%2B1=841

and

NOTE:
For other numbers, you could get at the answer by doing a prime factorization.

Question 750094: Solve
SR (2x+6)=2SRx
Answer by dkppathak(40)

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SR (2x+6)=2SRx
squaring both side we will get
2x+6=4x
6=4x-2x
6=2x
x=3

Question 749362: how do i solve this equation √(6x+4)=7
Answer by tommyt3rd(570)

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sqrt%286x%2B4%29=7

Question 748609: i am having difficulty understanding simplifying plobems such as 3(squarerootof)28. the fewer simple steps the better. thank you for your time
Answer by MathTherapy(1424)

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i am having difficulty understanding simplifying plobems such as 3(squarerootof)28. the fewer simple steps the better. thank you for your time
3sqrt%2828%29

------ Factoring the RADICAND, ensuring that one of the factors is a PERFECT SQUARE

3%2Asqrt%284%29+%2A+sqrt%287%29

------ Separating the RADICAND's expressions

3%282%29+%2A+sqrt%287%29

(simplest radical form)

Question 747402: what is the square root of y to third power?

Answer by checkley79(3050)

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SQRT(Y^3)=Y SQRT(Y) ANS.

Question 746981: What value of c makes x^2+24x+c contain a perfect square trinomial
Answer by jim_thompson5910(28595)

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Take half of the x coefficient 24 and square it to get (24/2)^2 = 12^2 = 144

So c = 144

Question 746947: how to find the root of 1
Answer by checkley79(3050)

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SQRT1=1
PROOF
1^2=1

Question 746927: Please solve this problem ASAP. I have a test tomorrow and I am doing extra practice to prepare. I completed this problem, but I am unsure if I did it correctly. Thanks in advance for helping me. Complete the square of the following problem: 2x^2 - 4x - 3 = 0
I got the answer: x = 1 +/- sqrt5/2
*+/- = positive negative
*sqrt = square root
Thanks again in advance.
Found 2 solutions by josmiceli, jim_thompson5910:
Answer by josmiceli(9680)   (Show Source):
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Take 1/2 of the co-efficient of x,
square it and add it to both sides

Take the square root of both sides

and also,

---------------------
I think you were correct
You can plug these answers back into the
original equation as a check- I'll leave it to you.

Answer by jim_thompson5910(28595)   (Show Source):
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or

or

or

or

or

or

or

or

So the two solutions are or

Question 746932: Please solve this problem ASAP. I have a test tomorrow and I am doing extra practice to prepare. I completed this problem, but I am unsure if I did it correctly. Thanks in advance for helping me. Complete the square of the following problem: 2x^2 = 4x - 5
I got the answer: x = 1 +/- i sqrt3/2
*+/- = positive negative
*sqrt = square root
*i = fake number system was used
Thanks again in advance.
Found 3 solutions by rothauserc, Alan3354, josgarithmetic:
Answer by rothauserc(208)   (Show Source):
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we are asked to
Complete the square of the following problem: 2x^2 = 4x - 5
2x^2 - 4x = 5
x^2 - 2x = 5/2
add 1 to both sides and we get
x^2 - 2x + 1 = 5/2 + 1 and
(x-1)^2 = 7/2
x-1 = sqrt(7/2)
x = 1+sqrt(7/2) = 1 + 1.9 = 2.9
x = 1-sqrt(7/2) = 1 - 1.9 = -.9

Answer by Alan3354(30993)   (Show Source):
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Complete the square of the following problem: 2x^2 = 4x - 5
--------------
I think you mean solve for x by completing the square.

-------------
Same as your answers, I took the fraction out of the radical.

Answer by josgarithmetic(1520)   (Show Source):
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Your solution for x does not indicate your knowing about Completing the Square. Showing some of your work for Completing the Square would be better than just showing what x is.

What must be added to the rectangular expression to make the result into a square expression? You will need . Add 1 inside the parentheses and subtract outside of the parentheses. From that, you have other calculations and simplifications. Your turn.

----I should include, the reason 1 will complete the square is because you have as the "rectangular" expression and that is what you want to use in making a square trinomial, which can then be factored. The "2" used is the "b" which is generally used as , the term which is added to Complete the Square.

Question 746746: how do you solve the multiplication of the square root 125 times the square root of 125

Answer by Cromlix(353)   (Show Source):
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Square root 125 x square root 125
= 125
If you put square root in index form
you have 125^1/2 x 125^1/2
As you add indices when multiplying
them the answer is 125^1

Question 746042: I have to solve the formula for volume of a cylinder where d=square over 4v divided by symbol pie and h?
Answer by Alan3354(30993)   (Show Source):
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I have to solve the formula for volume of a cylinder where d=square over 4v divided by symbol pie and h?
-------------
It's not clear what you mean.
For a cylinder,

Question 744348: What is the solution of the equation?

Answer by Alan3354(30993)   (Show Source):
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-----

x = 4*3^(3/8) - 2

Question 744346: What is the solution of the equation?

Answer by richwmiller(9137)   (Show Source):
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square both sides
x=2
try it
it works

Question 743514: Solve by the square root property
25(y+5)^2=81

Answer by tommyt3rd(570)   (Show Source):
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or

Solving the two equations we get
y=-16/5 or y=-34/5

Question 743350: Trying to solve 2*sqrt(x-3)=6
tried squaring both sides and came up with 2*x-3 = 6^2
that divided out to X=21
tried checking the answer but it does not work.
Is this equation not solvable?
Thank you..
Answer by mananth(12270)   (Show Source):
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2*sqrt(x-3)=6}}}
/2

square both sides
x-3=9
x=12
( when you have squared you have to square the 2also)

Question 743127: Simplify Square root of 45k^7q^8
Answer by checkley79(3050)   (Show Source):
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SQRT(45 k^7 q^8)
SQRT(9*5 k^6*k q^4*q^4)
3 k^3 q^4sqrt(5 k)

Question 742662: 5/sqrt( 10x )
Please help me rationalize the denominator to simplify this! Can you tell me how? I answered the question and already got it wrong, I am just reviewing. Thank you so much I REALLY appreciate it!
Answer by stanbon(57352)   (Show Source):
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5/sqrt( 10x )
Please help me rationalize the denominator to simplify this!
--------
Multiply numerator and denominator by sqrt(10x) to get:
= [5*sqrt(10x)/(10x)
--------
= (5/10)(sqrt(10x)/x)
--------
= (1/2)sqrt(10x)/x
=======================
Cheers,
Stan H.
=================

Question 741952: 8 devided by the square root of 3
Answer by stanbon(57352)   (Show Source):
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8 divided by the square root of 3
--------
8/sqrt(3) = [8sqrt(3)/3] = (8/3)sqrt(3)
==============================
Cheers,
Stan H.
==============================

Question 740163: what is the square root of 600a over 4b cubed? and can you please show the work so i can see how you got the answer? please and thank you.
Answer by rothauserc(208)   (Show Source):
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we are given
sqrt(600a) / (3b)^3
this equation is equal to
sqrt(600)*sqrt(a) / 64b^3
which equals
24.50*sqrt(a) / 64b^3
which is .38*sqrt(a) / b^3

Question 740065: thirty times the square root of a non zero number is equal to 8 times the number.

Answer by MathLover1(6634)   (Show Source):
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let a non zero number be
times the square root of a non zero number is
equal to times the number is
so, we have
...you can solve for if you square both sides

....use zero product rule
if ..this is a solution, but our number should be non zero; so, we need other solution
or if => => =>
so, a non zero number be and this is your solution
let's check this solution:

.....this confirms that our answer is correct

Question 739957: I need help! what does x to the power of minus 3 equal? and how do i work it out?!
Answer by josmiceli(9680)   (Show Source):
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The general rule is:

-------------------
Suppose you had
and
, so

-------------------
Also, the negative exponents operate
just the positive exponents.
A general rule is:

Following this, suppose you had

then

, so

-------------------
Your problem is
Following the general rule,

--------------------
hope this helps

Question 739760: I don't know how to solve this. b^2-5=-8 What is the square root if it can't be negative?
Answer by Edwin McCravy(8909)   (Show Source):
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It's imaginary! Have you studied imaginary numbers? If you haven't, you should say this "has no REAL solutions". But if you have studied imaginary (NON-REAL) numbers, you should do this: b² - 5 = -8 b² = -3 b = ±√-3 b = ±i√3 Edwin

Question 739524: distance between (-2,-1) and (3,4)
Answer by jim_thompson5910(28595)   (Show Source):
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For more help and practice with distance formula problems, check out this distance formula solver.

Solved by pluggable solver: Distance Formula

The first point is (x1,y1). The second point is (x2,y2)

Since the first point is (-2, -1), we can say (x1, y1) = (-2, -1)
So ,

Since the second point is (3, 4), we can also say (x2, y2) = (3, 4)
So ,

Put this all together to get: , , , and

--------------------------------------------------------------------------------------------

Now use the distance formula to find the distance between the two points (-2, -1) and (3, 4)

Plug in , , , and

==========================================================

Answer:

The distance between the two points (-2, -1) and (3, 4) is exactly units

The approximate distance between the two points is about 7.07106781186548 units

So again,

Exact Distance: units

Approximate Distance: units

For more help and practice with distance formula problems, check out this distance formula solver.

Question 739215: Please help me solve this equation: I cant get a single value for x is it even possible?
Found 2 solutions by MathLover1, richwmiller:
Answer by MathLover1(6634)   (Show Source):
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.....raise both sides to power of

...raise both sides to power of again

....use quadratic formula

solutions:

.......since we need , this is not solution for your problem because

......here and this is your solution
so, is true for

Answer by richwmiller(9137)   (Show Source):
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sqrt( x + sqrt(x))= sqrt(30)
x + sqrt(x)= 30
25+5=30
x=25

Question 738388: sqrt(2x+3)-sqrt(x+1)=1
Answer by MathLover1(6634)   (Show Source):
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....raise both side to power of

solutions
if , the
if , the

Question 737606: I am dying here!!
I have negative three-fifths cubed. The other one that I'm stuck on is the fourth root of 256 over 81. I am not good at math.
Answer by josgarithmetic(1520)   (Show Source):
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"Cubed" means .

"Negative three-fifths cubed", is
=.

Question 737371: Please help me solve
(4x)^2 + sqrt(2x+3) = 8x + 1
Thanks a lot, i'm really appreciate your help!
Answer by stanbon(57352)   (Show Source):
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(4x)^2 + sqrt(2x+3) = 8x + 1
----
sqrt(2x+3) = -4x^2+8x+1
---
2x+3 = (-4x^2+8x+1)(-4x^2+8x+1)
-----
2x + 3 = 16x^4-32x^3-4x^2 -32x^3+64x^2 + 8x - 4x^2+8x+1
2x+3 = 16x^4 - 64x^3 + 56x^2 + 16x + 1
----
16x^4 - 64x^3 + 56x^2 + 14x -2 = 0
----
8x^4 - 32x^3 + 28x^2 + 7x - 1 = 0
--------------
I graphed it and found zeroes at
x = -0.28.., x = +0.104.., x = 1.78.. and x = 2.40...
------
Check for extraneous zeroes.
Cheers,
Stan H.
================

Question 737082: Hello, I need to know what is the square root of 36. I really don't understand how to solve this math problem.
Answer by josgarithmetic(1520)   (Show Source):
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Basic multiplication fact. What do you find on the multiplication table? Look at the main diagonal and you will see the number multiplied by itself. The reason, "square" is used is because this is the way to find area for a square. A figure with one dimension at right angle to the other dimension and both dimensions are the same size, is SQUARE.

If you take 36 squares, and arrange them on a flat surface to form the shape of a larger square, the HOW MANY OF THESE SMALL SQUARES ARE ON EACH SIDE OF THE LARGER SQUARE COMPOSED OF THESE 36 SQUARE PIECES? The answer is 6.

With that example, you have a row of 6 squares arranged in 6 columns and altogether they are 36 pieces. See the basic fact, . THAT is squaring.

What you want to answer is, What is the number n, so that ? You are asking for the square root of 36. The square root of 36 is 6.
, because .

Question 736752: What is the fifth root of -1-i
Answer by Alan3354(30993)   (Show Source):
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What is the fifth root of -1-i
------------
There are 5 of them.
----
|z| = sqrt(2)
-1-i --> z = sqrt(2)cis(225)
, n = 0, 1, 2, 3, 4

Question 736506: Please show work.
(1.2)sq root + (2.8)sq root =3.1. How do yu calculate to get the answer 3.1This is what i did
1.2 x1.2= 1.44
2.8 x 2.8 = 7.84
1.44 + 7.84 = 9.28
here is where i am not sure how to get to the answr which is 3.1

Answer by josgarithmetic(1520)   (Show Source):
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Are you using ?
That is simply wrong.

In fact, as any good approximation to nearest tenth.

Try just using a handheld calculator:
Find and find . Now sum them. What do you find?

Question 736492: Please show work-
(1.2)2 + (2.8)2= 9.28(2)=3.1 I am not sure how to compute 9.2 sq to equal 3.1

Answer by stanbon(57352)   (Show Source):
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Too many equal signs.
Cheers,
Stan H.

Question 736227: 2 square root of 8
2 2 radical 2
but then what?
Answer by Alan3354(30993)   (Show Source):
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2 square root of 8
2 2 radical 2
but then what?
-------------
idk. What did you want to do?

Question 736035: what is the square root of 3 times the cube root of nine? 3 to the 1/2 times 9 to the 1/3? I don't see how the exponents are manipulated to yield the answer 9 to the 7/12!
Answer by htmentor(789)   (Show Source):
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Since 3 can be expressed as 9^(1/2), we have

----
Adding up the exponents gives 9^(7/12)