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

You can put this solution on YOUR website!
==

You can put this solution on YOUR website!
how do i simplify this? the square root of 2x times the sqaure root of 3x
-------------
If you mean

=
=
=

You can put this solution on YOUR website!


This is the same as:


Since we have a "pair" of x's -- pull it out of the radical:

You can put this solution on YOUR website!
Simplify:
4√a^6b^13/4√a^2b
------------------
It's not completely clear what the expression is.
If it's:

=
=
=

You can put this solution on YOUR website!
4√a^6b^13/4√a^2b
= 4th root of[(a^6b^13/a^2b]
= 4 th root of [a^4b^12]
= ab^3
============
Cheers,
Stan H.

You can put this solution on YOUR website!
A. 0, 3, 8, 15, 24
B. 10, 13, 18, 25, 34
C. 2, 8, 18, 32, 50
D. 1, 8, 27, 64, 125
(A) Looks like
(B)
{C)
(D)
These are pretty hard- don't feel bad- the more
you plug along with these the better you get

You can put this solution on YOUR website!
a. x is natural numbers
b. where 1st term, n is natural numbers
c where 1st term, n is natural numbers
d. where x is the natural numbers

You can put this solution on YOUR website!
2^(1/10)
Fractional exponents usethe numerator(1) as a power & the denominator as a root.
Thus we have:
The 10th root of 2. OR
10\/(2)=1.07177 ans.

You can put this solution on YOUR website!
mr. barada bought a square rug. the area of the rug was about 68.06ft2. he estimated that the lenth of a side was about 7ft. is mr. barada's estimate reasonable?explain.
----------------------
If it is square and if one side is 7 ft, the area of the rug is 49 sq ft,
not 68.06 sq. ft.
====================
Cheers,
Stan H.

You can put this solution on YOUR website!
I assume that this is the problem.
=
=
=
.
Ed

You can put this solution on YOUR website!
-------??????????
square both sides and you get


so the statement is false as they are NOT equal

You can put this solution on YOUR website!
6 square root of 27
(6)(3)sqrt(3)
18sqrt(3)

You can put this solution on YOUR website!
What are the two consecutive whole numbers that lies between the square root of eighty nine?
--------------------------
There are no numbers between another number. There's no between, even.

You can put this solution on YOUR website!
Sqrt(2x^2+x-12)=x squaring both sides we get:
2x^2+x-12=x^2
2x^2-x^2+x-12=0
x^2+x-12=0
(x+4)(x-3)
x+4=0
x=-4 ans.
x-3
x=3 ans.
Proofs:
sqrt(2*-4^2+(-4)-12=-4
sqrt(2*16-4-12)=-4
sqrt(32-16)=-4
sqrt16=-4
-4=-4
sqrt(2*3^2+3-12)=3
sqrt(2*9+3-12)=3
sqrt(18+3-12)=3
sqrt9=3
3=3

You can put this solution on YOUR website!
solve for b:
t = 9^square root of b
------------
Take the log of both sides to get:
log(t) = (sqrt(b))log(9)
sqrt(b) = [log(t)/[log(9)]
b = [log(t)/[log(9)]^2
======================
A.
B.
C.
D. none of the above
======================
The answer is "none of the above" for the problem you have posted.
If the answer is not "none of the above" the problem is not the
one you posted.
=======================================
Cheers,
Stan H.

You can put this solution on YOUR website!
solve for b:
t = 9^square root of b
------------
Take the log of both sides to get:
log(t) = (sqrt(b))log(9)
sqrt(b) = [log(t)/[log(9)]
b = [log(t)/[log(9)]^2
======================
A.
B.
C.
D. none of the above
======================
The answer is "none of the above" for the problem you have posted.
If the answer is not "none of the above" the problem is not the
one you posted.
=======================================
Cheers,
Stan H.

You can put this solution on YOUR website!

Take log9 (log base 9) of both sides:

Square both sides:

You can put this solution on YOUR website!
***** equation 1 *****
since = , this becomes:

since a*b*c*d = a*c*b*d, this becomes:

since , this becomes:

simplifying, this becomes:
***** equation 2 *****
-----
to prove the answer is correct, let x be any number that can be easily handled by your calculator.
for example:
let x = 3
-----
equation 1 becomes:

this becomes:

this becomes:

this becomes:
306827.6044.
-----
equation 2 becomes:

this becomes:

this becomes:

this becomes:

this becomes:
306827.6044
-----
the answers come out the same so equation 1 is equivalent to equation 2.

You can put this solution on YOUR website!



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

Answer:


So



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


Here are some side notes


1) All variables are positive so this means that


2) To multiply variables with exponents (the same variables) simply add the exponents


3) The goal to simplify this is to break 19 into 18+1 where 18 is a multiple of 2 (that way, we can take the square root)

You can put this solution on YOUR website!
simplify each of the following.
sqrt(3x^6)* sqrt(27x^13)=
= sqrt[81x^19]
= 9*x^9*sqrt(x)
======================
Cheers,
Stan H.

You can put this solution on YOUR website!
ok i need to find out how much shorter a 1 meter rod will become if it is moving at 60 miles per hour the equation it give me to solve it is L to the root of 1-v squared divided by c square
were L is the lengh
v is the velocity
and c is the speed of light about 186,000 miles per second
----------------------
The Lorentz Factor is:

c is in miles per second, so convert 60 mph to miles per second:
v =60 mph = 1 mile per minute
= 1/60 mile per second

=
If you use a small calculator and subtract that from 1, you get just 1. It's too many digits for them.
Use the MS Windows calculator in the Scientific view.
A 1 meter rod is shortened by 4.01459385*10^(-15) meters
That's 0.00000000000000401459 meters.

You can put this solution on YOUR website!
a. ==
b. ==
c. ==
d. ==

You can put this solution on YOUR website!
Find all the fourth roots of 16. There are four solutions: 2, -2, i, i.
---------------------



For , x = 2, x = -2
For , x = 2i, x = -2i

You can put this solution on YOUR website!
sqrt{600} =
What two numbers when multiplied together will yield 600? One of the numbers must be a perfect square.
How about 25 times 24?
I hope you know that 25 is a perfect square.
So, sqrt{25} = 5.
We now have 5(sqrt{24}).
What about sqrt{24}? Is this in simplified form?
No, it is not.
Do the same thing again.
What two numbers, one of them being a perfect square, will yield 24 when multiplied together?
How about 4 times 6?
Yes, 4 times 6 = 24 and 4 is a perfect square.
So, sqrt{24} becomes 2(sqrt{6}).
We now multiply 5 by 2.
Final answer: 10(sqrt{6}).

You can put this solution on YOUR website!
sqrt6.4*10^-4
2.5298*10^-4
.00025298 answer.

You can put this solution on YOUR website!
At a height of h meters you can see V kilometers to the horizon. These numbers are related by the equation V = 3.5 sqrt(h) A person can see 392 km to the horizon from an airplane window. How high is the airplane?
:
Substitute 392 for V in the given equation and find h
3.5* = 392
:
Divide both sides by 3.5:
=
:
= 112
:
Square both sides:
h = 112^2
:
h = 12,544 meters
:
:
Check solution on a calc: enter 3.5* = 392

You can put this solution on YOUR website!
I did that one already. It's 2. If you can't access the solution on the site, email me (a thank you note sends me email).

You can put this solution on YOUR website!
how to find last four dight of this equation 2006^2007^2008
---------------------
What equation? An equation has an equal sign, it equates something to something else.

You can put this solution on YOUR website!
let x = amount of 2% alcohol solution.
let y = amount of 6% alcohol solution.
let z = amount of 3.2% alcohol solution.
z = 60 liters.
-----
x amount of 2% alcohol solution + y amount of 6% alcohol solution = 60 liters of 3.2% alcohol solution.
x + y = z
z = 60
equation for that is:
x + y = 60 (equation 1)**********************************
-----
.02 * x = amount of alcohol in 2% solution.
.06 * y = amount of alcohol in 6% solution.
.032 * z = amount of alcohol in 3.2% solution.
z = 60
.032 * 60 = 1.92 liters of alcohol in 60 liters of 3.2% solution.
the amount of alcohol in the 2% solution plus the amount of alcohol in the 6% solution must total up to be 1.96 liters of alcohol.
equation for that is:
.02*x + .06*y = 1.96 (equation 2)***********************************
-----
two equations to solve are:
x + y = 60 (equation 1)
.02*x + .06*y = 1.92 (equation 2)
-----
multiply equation 2 by 50:
x + y = 60 (equation 1)
x + 3*y = 96 (equation 2)
subtract equation 1 from equation 2:
2*y = 36
y = 18
-----
if y = 18, then x must = 42 since x + y = 60 (equation 1)
-----
answer is:
42 liters of 2% solution plus 18 liters of 6% solution equals 60 liters of 3.2% solution.
-----
x = 42
y = 18
x + y = 60 (equation 1)
42 + 18 = 60
60 = 60
equation 1 is good
-----
.02*x + .06*y = .032*z (equation 2)
.02*42 + .06*18 = .032*60
.84 + 1.08 = 1.92
1.92 = 1.92
-----
both equations are satisfied so answer is good.

You can put this solution on YOUR website!


.
in order to substitute, you need to find out what one variable is equal to.
In this case it is easiest to get x by itself with the first equation by subtracting 2y from each side. When you do this, you get:
now you substitute this into the other equation.

.
distribute the 3

.
combine like terms

.
subtract 12 from each side

.
divide each side by -8

.
now plug this into the first equation to find out what x is:


.
so: ;
.
Plug these values in to the original equation to check for accuracy.
.
If you want your questions answered quickly and consistently then consider making me your private tutor. For more information click on my name to go to my website or email me @ justin.sheppard.tech@hotmail.com

You can put this solution on YOUR website!
-3. The reason for this is because -3 * -3 * -3 = -27, or -3 cubed equals -27. You can take an odd root of a negative number, but not an even root (such as a square root) of a negative; at least, not without getting into imaginary numbers.

You can put this solution on YOUR website!

You can put this solution on YOUR website!
A)

Set argument greater than zero ---> --->

Domain:

B)

Domain: all real numbers. No work to show as there are no restrictions

You can put this solution on YOUR website!

You can put this solution on YOUR website!

square both sides

You can put this solution on YOUR website!





answer

You can put this solution on YOUR website!
Hi, Hope I can help,
.
simplify the following radical expressions the square root of x times the square root of x
.
Here is the problem you are trying to solve
.

.
We first have to know what square roots are
.
To find the square root of something, we are trying to find a number you can square (multiply twice) to get the number, , you are trying to find "x", this case it would be , ( or , if you are using negative square roots)
.
Examples: find , the answer would be , since you can multiply 5 twice ( or square "5" ) to get 25, , or
.
find , the answer would be , you can multiply "9" twice to get "81", you can also square "9" to get "81", , or
.
If you multiply a square root of a number by itself( or square it), it will always equal the number in the square root sign.
.
Examples: = =
.
= = ( number in the sqrt sign )
.
= = (same number that is in square root sign)
.
(We don't know the exact square root, but from the examples, we know the answer would be , because )( The answer is the number inside the square root sign, or "33")
.
Lets do the original question.
.
simplify the following radical expressions the square root of x times the square root of x
.
, this is the same as all the examples, except that it is a letter.( It doesn't change the way we solve this problem though )
.
If the answer is the number( or letter) inside the square root sign
.
The answer would be , since it is inside the square root sign.
.
To find the square root of a number, you would need to find a number multiplied by itself, or squared to get that number (or letter). So since we found the square root of "x" ( ), and we are multiplying by the same number, we are saying , which would be equal to "x"
.
The simplified number/variable/expression would be
.
Your answer is
.
Hope I helped,Levi

You can put this solution on YOUR website!
You have to know that: = x

You can put this solution on YOUR website!
another way of writing this is using the rule of multiplying exponents we have which = which =x

You can put this solution on YOUR website!

You can put this solution on YOUR website!
find the distance between
(-3,5) and (-6,-7)
-----------------
The distance is
=
=
=
=
=

You can put this solution on YOUR website!
numbers that have rational square roots are perfect squares or a number which is the square of an integer. 1,4,9,16,25... etc numbers that have rational cube
roots are perfect cubes or a number which is the cube of an integer.1,8,27,64,...etc
you can even have fractional perfect squares and cubes such as 4/25 and 8/27


hope that helps!!!!!!!!

You can put this solution on YOUR website!
A "perfect square" is simply a whole number that is the result of another whole number squared. So for instance, 9 is a perfect square since where 3 and 9 are whole numbers. Another example is 25 since .


Note: If you are a visual person, think of a square with sides of 3 units (each side is 3 units). The area of that square will be 9 square units (since area is length*width). This is where the "square" portion comes from.


A "perfect cube" is analogous to a perfect square, but this time we're dealing with cubing a whole number. So a "perfect cube" is simply a whole number that is the result of another whole number cubed. So 8 is a perfect cube since and 27 is a perfect cube since (notice these are all whole numbers).


Note: If you are a visual person, think of a cube with sides of 3 units (each side is 3 units). The volume of that cube will be 27 square units (since volume is length*width*height). This is where the "cube" portion comes from.

You can put this solution on YOUR website!




or approximately,

You can put this solution on YOUR website!