Algebra Examples

$\sqrt[4]{x^{6} y^{4}}$

Step 1

Rewrite $x^{6} y^{4}$ as ${(x y)}^{4} x^{2}$ .

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Step 1.1

Factor out $x^{4}$ .

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

Step 1.2

Move $x^{2}$ .

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

Step 1.3

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

$\sqrt[4]{{(x y)}^{4} x^{2}}$

Step 2

Pull terms out from under the radical.

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

Step 3

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

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

Step 4

Pull terms out from under the radical.

$| x y | \sqrt{| x |}$