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

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Question 131286: I need help with this division of radical expression
sqrt 3x^3y/sqrt6xy^3
sqrt 3*x*x*x*y/ sqrt 2*3*x*y*y*y
= x sqrt 3*x*y/ y sqrt 2*3*x*y
Click here to see answer by josmiceli(9678)

Question 131441: the square root of x-4 - the square root of x+8 =2
Click here to see answer by edjones(7569)

Question 131681: I am a little confused on these two problems from the book. We are working on squared roots and am confused. The problems are story problems.
The radius of a sphere is given by the formula r = (0.75v over pie)^1/3 Where V is its volume. Find the radius of a spherical tank that has a volume at 32pie over 3 cubic meters.
An investment of $10,000 in 1997 in the Spartan Investment Grade bond Fund grew to $14,309.61 in 2002. Use the formula r = (s over p)^1/n - 1 to find the 5 year average annual return.
Can someone please help?
Click here to see answer by stanbon(57347)

Question 131577: ummm im trying to solve these for homework but even if i read hoe to do the equations i cant solve it
umm i dont know if this is a lot of problems but if it is can you answer two but work it out so i can figure it out?????
Click here to see answer by elima(1433)

Question 131846: What is the answer to this question:
square root 20 - square root 5 + 4 square root 8
I tried this:
2 square root 5 - square root 5 + 8 square root 2
square root 5 + 8 square root 2
9 square root 10
18 square root 5
Click here to see answer by edjones(7569)

Question 131845: What is the answer to this problem:
square root 20 x 3 square root 6 x square root 2
Click here to see answer by edjones(7569)

Question 131852: solve for x
y^2 + y^2 = x^2
Click here to see answer by benni1013(197)

Question 131966: I need help on this problem please: (5-4i) and it has the squared sign outside the parentheses by the 4i.Thanks for your help in advance LH and have a great day!
Click here to see answer by Earlsdon(6287)

Question 131987: how do you simplify radical expressions

Click here to see answer by rapaljer(4667)

Question 132006: i just need to know the right answer to see if im doing it right.. test tomorrow
Click here to see answer by rapaljer(4667)

Question 132008: i just need to know the right answer to see if im doing it right.. test tomorrow
Click here to see answer by solver91311(16885)

Question 132008: i just need to know the right answer to see if im doing it right.. test tomorrow
Click here to see answer by rapaljer(4667)

Question 132133: I really need help with what I am doing. Here is an example : 3 square root 63 time square root 4
I am really confused. Help is need immediately! Thank you!
Click here to see answer by stanbon(57347)

Question 132171: 5. Multiply:
(√[6] + 2√[2])(4√[6] – 3√[2])

Click here to see answer by stanbon(57347)

Question 131899:
I have to simplify:
3 square root 12 + 4 square root 18
Click here to see answer by checkley71(8403)

Question 132224: simplify 6 square root 20 + square root 180 - 2 square root 45
Click here to see answer by edjones(7569)

Question 132324: I am confused on how to do page 539 #11
Click here to see answer by nycsharkman(136)

Question 132429: Rewrite with a rational exponent.
root( 3, 20 )
Click here to see answer by solver91311(16885)

Question 132427: Multiply & simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.
root (3, y10)* root (3, 16y^11)
Click here to see answer by edjones(7569)

Question 132437: Simplify.
root( 3, -1/64 )
Click here to see answer by edjones(7569)

Question 132556: Solve.
sqrt ( 9x + 67 ) = x + 5
Click here to see answer by ptaylor(2048)

Question 132763: Simplify by removing factors of 1.
8p^2 + 8p / 56p^2 + 64p
I'm trying to figure this one out myself (or at least try) but if you could tell me if I'm on the right track and correct me if I'm wrong.
I'm not sure if I'm right, but here what I think.
sqrt (7p^2) + sqrt (8p)
I'm really having a hard time with algebra and appreciate the help!
Click here to see answer by Earlsdon(6287)

Question 132974: Please help me!!!I have this problem and I do not have any idea how to go about solving. If x= radical 6/7, then evaluate (x + 1/x)exponient 2.....I hope this makes sense..I didn't know how to type it in exactly..Any help would be greatly appreciated.. Thankyou Angie
Click here to see answer by solver91311(16885)

Question 132991: Simplify by factoring. Assume that all expressions under radical represent nonnegative numbers.
sqrt( 18a^2b )
I'm confused as I've seen similar problems set up stating to think of them as positive numbers. Please help.
Click here to see answer by jim_thompson5910(28595)

Question 132997: Find the following.
root ( 18, (-10)^18 )
Click here to see answer by solver91311(16885)

Question 132995: Simplify by taking roots of the numberator and the denominator. Assume that all expressions under radicals represent positive numbers.
root (3,512x^8/y^3)
Click here to see answer by stanbon(57347)

Question 132993: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
(sqrt (c) - sqrt (d)) / (sqrt (c) + sqrt (d))
Click here to see answer by stanbon(57347)

Question 132837: Find the following.
root ( 18, (-10)^18 )
Click here to see answer by nycsharkman(136)

Question 133062: 2 sqrt[48] + 7 sqrt[12] - sqrt[27]
so far i got 2 sqrt 6*8 + 7 sqrt 4*3 - sqrt 3*9
now Im lost do not what to do next
Click here to see answer by solver91311(16885)

Question 133183: Subtract. Simplify by collecting like radical terms if possible.
root (8,50) - root (5,2)
I'm not certain how to do this problem.
Click here to see answer by vleith(2825)

Question 133228: Radical Expressions
simplify.
I am trying to help my daughter with her homework and I am at a loss. I have never seen problems like these, and surely am at a loss as where to start with them.
\/810+\/240-\/250
Click here to see answer by jim_thompson5910(28595)

Question 133239: Hi, If someone could please help me that would be great. I need to rationalize the denominator. It is a number 1 in the (numerator)over top of a square root of 7 minus a square root of 5 in the denominator. I came up with the answer of a square root of 7 + a square root of 5 in the numerator over top of a 2 in the denominator. Is this right. I couldn't figure out how to write out this problem on the computer.
Thanks, Randy
Click here to see answer by stanbon(57347)

Question 133245: Hi, I need a little help on this please. It looks simple but I'm confused!
I need to put this in radical notation. x with a negative exponent of -2/3

I believe the answer would be the number 1/x with a positive exponent of 2/3 that would get rid of the negative. but I'm unsure of the radical notation is it a
cubed 3 outside the radical and inside the radical an x with an exponent of 2 or is it a negative -2 this is where I'm having the problem. Hope you can help
Thanks, Randy
Click here to see answer by checkley71(8403)

Question 133193: how do you change radicals to fractions??
Click here to see answer by solver91311(16885)

Question 133367: 2 square root of 3 divide by square root square root of 15. rationlize the denominator and simplify each expression

Click here to see answer by vleith(2825)

Question 133413: Write an irrational fraction that when rationalised the solution is 5. Prove your answer
Click here to see answer by solver91311(16885)

Question 133450: (3-2i)^2
Click here to see answer by vleith(2825)

Question 133447: square root of -25/ negative square root of -16
Click here to see answer by vleith(2825)

Question 133449:
(1+4i)(1-3i)
Click here to see answer by checkley71(8403)

Question 133677: What is the cubed root of 24a^3y^6z?
no matter what I try I come up with the cubed root of 24z*ay^2
Click here to see answer by scott8148(6628)

Question 133677: What is the cubed root of 24a^3y^6z?
no matter what I try I come up with the cubed root of 24z*ay^2
Click here to see answer by edjones(7569)

Question 133670: What is the square root of 18x + the square root of 8x equal? Please!
I used my best guess and guessed 5 times the square root of 2x but I know that it is wrong.
Thanks
Click here to see answer by scott8148(6628)

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