Pre-Algebra Examples

$\frac{\sqrt[3]{52 x^{5}}}{125 y^{6}}$

Step 1

Rewrite $52 x^{5}$ as $x^{3} \cdot (52 x^{2})$ .

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Step 1.1

Factor out $x^{3}$ .

$\frac{\sqrt[3]{52 (x^{3} x^{2})}}{125 y^{6}}$

Step 1.2

Reorder $52$ and $x^{3}$ .

$\frac{\sqrt[3]{x^{3} \cdot 52 x^{2}}}{125 y^{6}}$

Step 1.3

Add parentheses.

$\frac{\sqrt[3]{x^{3} \cdot (52 x^{2})}}{125 y^{6}}$

Step 2

Pull terms out from under the radical.

$\frac{x \sqrt[3]{52 x^{2}}}{125 y^{6}}$