Algebra Examples

$\sqrt{{(2 x)}^{2} \sqrt{2 y}}$

Step 1

Apply the product rule to $2 x$ .

$\sqrt{2^{2} x^{2} \sqrt{2 y}}$

Step 2

Raise $2$ to the power of $2$ .

$\sqrt{4 x^{2} \sqrt{2 y}}$

Step 3

Rewrite $4 x^{2} \sqrt{2 y}$ as ${(2 x)}^{2} \sqrt{2 y}$ .

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Step 3.1

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} x^{2} \sqrt{2 y}}$

Step 3.2

Rewrite $2^{2} x^{2}$ as ${(2 x)}^{2}$ .

$\sqrt{{(2 x)}^{2} \sqrt{2 y}}$

Step 4

Pull terms out from under the radical.

$2 x \sqrt{\sqrt{2 y}}$

Step 5

Rewrite $\sqrt{\sqrt{2 y}}$ as $\sqrt[4]{2 y}$ .

$2 x \sqrt[4]{2 y}$