SOLUTION: how do you rationalize the denominator and simplify cube root of 4y^2/cube root of 5x^11

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Question 604380: how do you rationalize the denominator and simplify cube root of 4y^2/cube root of 5x^11
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how do you rationalize the denominator and simplify cube root of
4y^2/cube root of 5x^11
use √ as cube root symbol for this problem
4y^2/√(5x^11)
multiply top and bottom by √(5^2x) to make the inside (radican) of denominator a perfect cube
4y^2*√(5^2x)/√(5x^11)*√(5^2x)
=4y^2*√(5^2x)/√(5^3*x^12)
=4y^2*√(5^2x)/5x^4
=4y^2*cube root of 25x/5x^4