SOLUTION: Please help! Having so much trouble with these last 3 problems! Divide and simplify. 4.) ∛270x / ∛10xy^2 Rationalize the denominator of each expression. 5.) &

Algebra ->  Rational-functions -> SOLUTION: Please help! Having so much trouble with these last 3 problems! Divide and simplify. 4.) ∛270x / ∛10xy^2 Rationalize the denominator of each expression. 5.) &      Log On


   

Question 568222: Please help! Having so much trouble with these last 3 problems!
Divide and simplify.
4.) ∛270x / ∛10xy^2

Rationalize the denominator of each expression.
5.) √7x / √3

6.) ∛x^2 / ∛4''.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and simplify.
4.) ∛270x / ∛10xy^2
= root%283%2C%28270x%2F10xy%5E2%29%29
= root%283%2C%2827%2Fy%5E2%29%29
= root%283%2C%2827y%2Fy%5E3%29%29
= 3%2Aroot%283%2C%28y%29%29%2Fy

Rationalize the denominator of each expression.
5.) sqrt%287x%29%2Fsqrt%283%29+=+sqrt%2821x%29%2Fsqrt%289%29
= sqrt%2821x%29%2F3
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6.) root%283%2Cx%5E2%29%2Froot%283%2C4%29
= root%283%2C2x%5E2%29%2Froot%283%2C8%29
= root%283%2C2x%5E2%29%2F2