What is (\sqrt[3]{7xy^2})/(\sqrt[3]{4x^2)} ?

The solution to (\sqrt[3]{7xy^2})/(\sqrt[3]{4x^2)} is cube root of (7y^2)/(4x)

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simplify (\sqrt[3]{7xy^2})/(\sqrt[3]{4x^2)}

simplify

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

Cancel

\frac{7 x y ^{2}}{4 x ^{2}} : \frac{7 y ^{2}}{4 x}

- \frac{1}{3} b = 9

x^{2} + 15 x + 36 = 0

\frac{360}{31} \cdot \frac{π}{180}

\frac{\frac{1}{3}}{\frac{3}{2}}

\frac{2 + 3 i}{1 - 5 i}

What is (\sqrt[3]{7xy^2})/(\sqrt[3]{4x^2)} ?
The solution to (\sqrt[3]{7xy^2})/(\sqrt[3]{4x^2)} is cube root of (7y^2)/(4x)