Algebra Examples

$\sqrt{\sqrt[3]{5 y^{6}}}$

Step 1

Rewrite $5 y^{6}$ as ${(y^{2})}^{3} \cdot 5$ .

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Step 1.1

Rewrite $y^{6}$ as ${(y^{2})}^{3}$ .

$\sqrt{\sqrt[3]{5 {(y^{2})}^{3}}}$

Step 1.2

Reorder $5$ and ${(y^{2})}^{3}$ .

$\sqrt{\sqrt[3]{{(y^{2})}^{3} \cdot 5}}$

$\sqrt{\sqrt[3]{{(y^{2})}^{3} \cdot 5}}$

Step 2

Pull terms out from under the radical.

$\sqrt{y^{2} \sqrt[3]{5}}$

Step 3

Pull terms out from under the radical.

$| y | \sqrt{\sqrt[3]{5}}$

Step 4

Rewrite $\sqrt{\sqrt[3]{5}}$ as $\sqrt[6]{5}$ .

$| y | \sqrt[6]{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$