Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 603395: please help me solve 216^-5/3
Click here to see answer by AnlytcPhil(1806)

Question 603511: √(16b^5)
Click here to see answer by jim_thompson5910(35256)

Question 604029: how to do 6radical7-2radical28?
Click here to see answer by solver91311(24713)

Question 604081: How would you solve radical 400 over 5 and both numbers are in the radical, not just the 400
Click here to see answer by mananth(16946)

Question 604164: HI! I'm doing test corrections and I'm stumped on one problem.
the original equation is:

I have already tried the problem a few times but my best guess so far ended up being:

I really hope I wrote those out wrong. It's my first time on this site. Thanks so much for your time :)
Click here to see answer by Alan3354(69443)

Question 604239: Please solve this question= √2(2+√3)/√3(√3+1)*√2(2-√3)/√3(3√3-1)=
Click here to see answer by josmiceli(19441)

Question 604223: Please help me solve this.

I also need to know all the steps and why it works.
Thanks you very much for your time.
Click here to see answer by mananth(16946)

Question 604301: Would someone please assist me with this problem? I cannot figure it out for anything.
During the first part of a trip, a canoeist travels 84 miles at a certain speed. THe canoiest travels 22 miles on the second part of the trip at 5mph slower. he total trip is 2 hours. What is the speed on each part of the trip?
Speed on first part? Speed on second part?
Click here to see answer by flame8855(424)

Question 604334: Hello, I need help with my math homework please. What is square root sign 162 x to the fifth "162x5" in a square root sign?
Click here to see answer by jim_thompson5910(35256)

Question 604380: how do you rationalize the denominator and simplify cube root of 4y^2/cube root of 5x^11
Click here to see answer by lwsshak3(11628)

Question 604464: Could you please help me with the square root of 600, I believe the answer to be 2 ( 150 ), but I am not sure
Click here to see answer by mananth(16946)

Question 604581: I am studying for the compass exam. I believe that if I am given an explanation on the solution for this problem that I might remember how to solve radical expressions
x>0 @ y>0 the radical expression the square root of x / 3times the square root of x -the square root of y is equivalent to
Thank you for your help
Click here to see answer by Alan3354(69443)

Question 604733: Hi I have a Question!
(x^(3a))/(sqrt(x^16a))
The think the answer is x^(-5a)
But I do not know how to get that.
thanks!
Click here to see answer by stanbon(75887)

Question 604733: Hi I have a Question!
(x^(3a))/(sqrt(x^16a))
The think the answer is x^(-5a)
But I do not know how to get that.
thanks!
Click here to see answer by bucky(2189)

Question 604647: 3 sqrt(12) x sqrt (6) (multiplying radical expressions )
Click here to see answer by alicealc(293)

Question 604648: sqrt (5) x sqrt (10) (Multiplying radical expressions)
Click here to see answer by alicealc(293)

Question 604923: sqrt (25(x+5)^16)
Click here to see answer by flame8855(424)

Question 604964: Solve for r: w=Cr^-2
Click here to see answer by lynnlo(4176)

Question 605151: Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
(50x^2y^-4/200x^-2y^4)^3
Click here to see answer by Alan3354(69443)

Question 605146: simplify the following expression; express in terms of i.
sqrt -112
Click here to see answer by asuar010(338)

Question 605574: how to solve 22x + square root 8x^3 over 11x
Click here to see answer by solver91311(24713)

Question 605581: Hi, I am doing a homework assignment and we are dealing with extraneous solutions. I am unfortunately stuck on a problem. I am working in a Glencoe McGraw-Hill California Algebra 1 textbook for 7th and 8th graders.
The instructions are:Solve each equation. State any extraneous solutions. I am on problem three which states: (x+2)/(x-2) - 2/x+2 = -7/3
I have tried so many times to solve this problem, but can't seem to get it right! Please reply ASAP, I would really appreciate it. Thank you ;)

Click here to see answer by solver91311(24713)

Question 605634: The height, h, of a ball on the moon t seconds after it is thrown upward with an initial velocity of 5meters per second is modeled by h= -0.8t squared + 5t. When will the ball land on the moon?
Click here to see answer by josmiceli(19441)

Question 605799: FACTOR:
81x^2-64y^2
Click here to see answer by scott8148(6628)

Question 605887: √4x-5 = √x+11
Click here to see answer by lwsshak3(11628)

Question 606069: I am solving quadratic equations by completing the square:
9x^2-9x=18
I have tried dividing everything by 9 first, but I didn't know if I needed for that to be first or if I find half of the coefficient and square it first.
Click here to see answer by Alan3354(69443)

Question 606223: 1. 4 square root 16x^5y^6
2. (square root 3x + 1)^2

3. 10 / 1- square root of 6

Click here to see answer by lynnlo(4176)

Question 606162: USE THE DISCRIMINANT TO DETERMINE THE NUMBER OF REAL SOLUTIONS FOR THE EQUATION
8r^2-48r+72=0
a. 0
b. 1
c. 2
Click here to see answer by lynnlo(4176)

Question 606297: Determine the distance between A(-1, 2, 3) and B(4, -5, 6) to the nearest tenth.
= 5.2
= 8.2
= 9.1
= 8.4

Click here to see answer by Edwin McCravy(20055)

Question 606317: Find the slope of the line passing through the points (4, 1) and (2, 0).
2
-2
1/2
-1/2

Click here to see answer by rfer(16322)

Question 606732: 1. a cube has sides of length n+6 units. a second cube has sides of length n units.
.find the volume of the cube with sides length n+6
. find the volume of the cube with sides length n.
. how much greater is the volume of a cube with sides of length n+6 than the vomlume of a cube with sides of length n?
Click here to see answer by solver91311(24713)

Question 606805: Simplify (2 \/5 + 3 \/7)^2. [[[AKA (2 sqrt 5 + 3 sqrt 7)^2 ]]]]
So I am having trouble on this problem. I'm not sure how the radicals are to be simplified, or where the power fits into the answer. This is a 4 point question on my test, I would appreciate help :) Thank you!
Click here to see answer by scott8148(6628)

Question 607119: 1. Find an exact solution for sqrt 5-1/x=sqrt 5/2. Then find the approximate solution to the nearest tenth.
2. sqrt 15(sqrt 10-2)
3. 2+ sqrt 2)(2- sqrt 2)
Click here to see answer by Gogonati(855)

Question 606946: x^2+6*x+3=0 i dnt know how to solve this can u help me

Click here to see answer by asuar010(338)

Question 607799: i need to simplify this equation
Click here to see answer by Alan3354(69443)

Question 608153: How do I solve the following equation:
(3- sqrt(-7))+(5+ sqrt(-2))
Click here to see answer by Alan3354(69443)

Question 608162: How do I add these complex numbers?
(3-sqrt(-7))+(5+sqrt(-2))
Click here to see answer by solver91311(24713)

Question 608178: What is the final solution for:
(3-sqrt(-7))+(5+sqrt(-2))
I know you have to put it in proper complex form and then add the real part coefficients and the imaginary part coefficients, but I'm confused as to how they add up and would like to check my answer.
Click here to see answer by solver91311(24713)

Question 608256:
Click here to see answer by stanbon(75887)

Question 608344: I need help with figuring out how binomials can be solved when you have a fraction with a variable. For example,

and solve it. My teacher told me that you have to multiply the denominator by both the numerator and the denominator. so then the answer would be . So i don't understand why she does that.
Click here to see answer by Alan3354(69443)

Question 608348: (16^1/7) express using radicals?
Click here to see answer by solver91311(24713)

Question 608439: the value 5square root 2 +square root 32=

Click here to see answer by lynnlo(4176)

Question 608751: Would someone PLEASE help with this Algebra problem???????!!!!!!!!
Simplify by taking roots of numerator and denominator:
3√(64x^14)/(y^3)
Click here to see answer by stanbon(75887)

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