How do you rationalize the denominator and simplify $\frac{y}{{\sqrt[3]{x}}^{2}}$ $y/root3x^2$ ?

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How do you rationalize the denominator and simplify $\frac{y}{{\sqrt[3]{x}}^{2}}$ $y/root3x^2$ ?

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Answer 1 · 2016-03-18T19:21:40

It is

$\frac{y}{\sqrt[3]{x^{2}}} = \frac{y \cdot x^{\frac{1}{3}}}{x^{\frac{2}{3}} \cdot x^{\frac{1}{3}}} = y \cdot \frac{\sqrt[3]{x}}{x}$ $y/root3(x^2)=(y*x^(1/3))/[x^(2/3)*x^(1/3)]=y*root3x/x$

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How do you rationalize the denominator and simplify $\frac{y}{{\sqrt[3]{x}}^{2}}$ $y/root3x^2$ ?

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