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

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Question 67964: Find the distance between (-4,0) and (-5,-3)
It is multiple choice:
A) 3 sqrt 10
B) 2
C) 6 sqrt 2
D) sqrt 10
How do I find the distance between the points? Thank you for your help!

Click here to see answer by venugopalramana(3286) About Me 

Question 67962: Simplify:
sqrt 20 1
-------- - -------
5 sqrt 5
I have a few answers to choose from and this problem has lost me. Here are the answers:
A) 1/5 sqrt 5
B) Cannot be simplified
C) sqrt 20 - sqrt 5
-----------------
5
D) sqrt 20 - 5 sqrt 5
-----------------
sqrt 5
Thank you for your help!

Click here to see answer by Earlsdon(6294) About Me 

Question 67991: -2(radical sign)45
I can't find the radical sign on my keyboard???

Click here to see answer by tutorcecilia(2152) About Me 

Question 68091: can this be simplified anymore
((16x^4)^1/3)-((2x)^1/3)?

Click here to see answer by stanbon(75887) About Me 

Question 68050: Determine if this is rational or irrational:
- ^4sqrt16
Is this rational or irrational? I believe it is irrational because there is a negative sign before the 4 sqrt 16
Am I correct? Thank you for your answer!

Click here to see answer by stanbon(75887) About Me 

Question 68176: Simplify:
sqrt 20 1
------- - ---------
5 sqrt 5
I do not believe that this can be simplifed, but is there a way to simplify this? Thank you for your help!!

Click here to see answer by funmath(2933) About Me 

Question 68174: Is this irrational or rational:
- 4throot sqrt 16
Would this be irrational? I think it would because to me the negative sign before it confuses me but I believe it is irrational. Am I correct? Thank you!

Click here to see answer by funmath(2933) About Me 

Question 68173: Complete this statement: “square root 2 * square root 5 = square root 10 because . . .
Click here to see answer by funmath(2933) About Me 

Question 68331: Have not had algebra since age 15, now 45. I am taking a human biology course, and it deals with chemistry/atoms, etc. Which involves math equations.
I am totally lost and in need of help. And I can't go forward without understanding this and I need to know this material BEFORE I begin my class. Please Help!
In regards to an Atom, Electrons have energy levels and consist of layers beginning with the most outer edge and work toward the center (the nucleus). There is a maximum number of electrons per energy level. The max number may be determined by using formula X = 2n (small 2 placed up and to the right of n). I assume this means squared?
This is what they gave me and it is in parts, so forgive me if I've over asked, but if I understand the equations, then the rest will fall into place, if you will.
With the formula X=2n squared, n=1, then X= ? The answer is 2. Why/How?
So the next energy level of the electron is X=2n squared, n=2, then X=? The answer is 8. Why/How?
So the 3rd energy level of the electron is X=2n squared, n=?, then X=? The answer for X is 18? Why/How and what would then be the answer to n?
Same for the 4th level only the answer for X is then 32. Why/How and what would then be answer to n? at this level?
I know this is a very simple thing, but I am drawing a blank here obviously and just not sure how to calculate the formula going forward. Thank you for this forum and also a huge thank you in advance for your helping me!
A very frustrated again student after almost 30 years!
Tammy Llewellyn from VA

Click here to see answer by ptaylor(2198) About Me 

Question 68369: Please help to solve
Square root of x^2 + 3x - 10 (end square root) + 2 = x

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 68497: (a^2-4ab)(a^2-ab-12b^2)/a^2(a+3b)
Click here to see answer by rmromero(383) About Me 

Question 68659: I need help big time. I do not understand ANYTHING about this chapter and the last. My algebra teacher does not explain and i don't get this at all. Can you please help me? I chose number 7 because it looked like a simple problem.
Click here to see answer by rmromero(383) About Me 

Question 68583: Please help to simplify
6 times the square root of 9 times 3 times the square root of 3

Click here to see answer by tutorcecilia(2152) About Me 

Question 69100: sqrt(x + 4) + sqrt(x - 1) = 5
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 69508: (2+3√12) /2
Click here to see answer by Nate(3500) About Me 

Question 69841: A roof rises 9.75 ft over a horizontal distance of 17.24 ft. What is the slope of the roof to the nearest hundredth?
Click here to see answer by tutorcecilia(2152) About Me 
Question 69841: A roof rises 9.75 ft over a horizontal distance of 17.24 ft. What is the slope of the roof to the nearest hundredth?
Click here to see answer by bucky(2189) About Me 

Question 70007: How do you figure out this problem using the quotient property to smplify the expression?
5 times the square root of 20/49

Click here to see answer by Earlsdon(6294) About Me 

Question 70321: If the perimeter of a rectangle is 18 ft and the width is 5 ft, find its length. [Hint: The perimeter of a rectangle is given by P = 2L + 2W.]
Click here to see answer by 303795(602) About Me 

Question 70342: m^4+4m^2-12=0


Thank you

Click here to see answer by ganit(6) About Me 

Question 70585: 4 nth roots of 80 divided by 9

could you tell me how to solve this problem step by step please and thankyou

Click here to see answer by jim_thompson5910(35256) About Me 

Question 70652: 3+sqrt-25 divided by 4-sqrt-64
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 70657: solve for Z: 3/2z^2=4z+1

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 71397: Solve: square root of 2y-3 = 3
Please show work and solution.

Click here to see answer by stanbon(75887) About Me 

Question 71665: My goal is to simplify the expression with rational exponents:
(25/49) to the -3/2 power: My answer is opposite of what the textbook provides. The way I solved it is as follows:
(25) -3/2 = The cubic root of 25 is (5) and -3 is my exponent, which is -125
(49) The cubic root of 49 is (7) and -3 is my exponent, which is -343
The answer I am getting is 125/343 because I cancelled out the negatives. The textbook is giving the answer of 343/125. I am not sure where my mistake is.

Click here to see answer by bucky(2189) About Me 

Question 71827: what is the square root of 36m to the fifth power?
HELP PLEASE!

Click here to see answer by stanbon(75887) About Me 

Question 72472: I never took introduction to algebra so im totally lost with this..can anyone help??
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 72586: x - square root of x = 0, solve for all values of x that satisfies the equation show work
Click here to see answer by stanbon(75887) About Me 

Question 72747: square root of x^3=8
Click here to see answer by bucky(2189) About Me 

Question 72720: square root of x^3=8
Click here to see answer by bucky(2189) About Me 

Question 72584: is the suare root of x^2 = x an identity (true for all values of x) explain?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 72920: 5) For the equation x-sqrt x=0, and perform the following:
a) Solve for all values of x that satisfies the equation.
Answer:
Show work in this space



b) Graph the functions y=x, and y=sqrt x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Graph
c) How does the graph relate to part a?
Answer:

Click here to see answer by funmath(2933) About Me 

Question 72944: .018 + 3square root .018(1-.018)/300
I tried .018 + 3 sq.root .018(.982)/300
.018 + 3 sq root .017676/300
.018+3 sq root .000058
teacher gives answer of .041
how do I get there

Click here to see answer by funmath(2933) About Me 

Question 73011: 4) For the function, y=1 / x-1
a) Give the y values for x = -2, -1, 0, 1, 2, 3
Answer:
x
y
Show work in this space.



b) Using these points, draw a curve.
Show graph here.

Click here to see answer by rmromero(383) About Me 

Question 72922: 4) For the function, y= 1 / x-1
a) Give the y values for x = -2, -1, 0, 1, 2, 3
Answer:
x
y
Show work in this space.



b) Using these points, draw a curve.
Show graph here.

Click here to see answer by rmromero(383) About Me 

Question 73010: Is sqrt x^2=x an identity (true for all values of x)?
Answer:
Explain your answer in this space.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 73009: 1) Solve the following equations. sqrt x-1=3
a)
Answer:
Show work in this space.



b) sqrt x^3=8 .
Answer:
Show work in this space.



c) 3 sqrt x^2=4 .
Answer:
Show work in this space.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 72783: Solve (x-1)^5 = 12
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 73037: x3 -y3
Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 73204: I am having a lot of trouble with this problem. Any help would be appreciated
Solve for x: 7 + sqrt(2x-5) = 12
7 + sqrt(2x-5) = 12 -subtract 7 from both sides
(sqrt(2x-5)^2=5^2
2x-5+5=25 +5
2x/2=20/2 -> 10
check: 7 + sqrt(2(10)-5 =12 ->7 + sqrt(15)=12 ***this is where i get stuck, i dont think the answer is right

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 73216: Find the parimeter of length square root of 27, heigth square root of 75. I think it's 3 times 3 times 3 added together and it's 3 times 5 times 5 added together, but I'm not sure.
Click here to see answer by checkley75(3666) About Me 

Question 73295: Use the properties for radicals to simplify each of the following expressions. Assume that all variables represent positve real numbers.
sqrt%285%2F3%29
I got the answer of sqrt+%285%2F3%29 is this already is simplest form or am I doing this wrong? Thanks

Click here to see answer by Earlsdon(6294) About Me 

Question 73294: Use the property 2 to simplify each of the fllowing radical expressions.
sqrt+%2810%2F49%29
I got the answer of sqrt+%282%2A5%29%2Fsqrt%287%5E2%29. Did I do this correctly? Thanks.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 73339: Use the properties for radicals to siplify each of the following expressions. Assume that all variables represent positive real numbers.
sqrt+%2812x%5E3%29%2F5
The answer I got for this problem was: sqrt+%282%5E2%29+%283x%5E3%29%2F5. Is this correct?
Thanks.

Click here to see answer by checkley75(3666) About Me 

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