Algebra Examples

$\sqrt[4]{36 x^{6}}$

Step 1

Rewrite $36 x^{6}$ as $x^{4} \cdot (36 x^{2})$ .

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Step 1.1

Factor out $x^{4}$ .

$\sqrt[4]{36 (x^{4} x^{2})}$

Step 1.2

Reorder $36$ and $x^{4}$ .

$\sqrt[4]{x^{4} \cdot 36 x^{2}}$

Step 1.3

Add parentheses.

$\sqrt[4]{x^{4} \cdot (36 x^{2})}$

Step 2

Pull terms out from under the radical.

$| x | \sqrt[4]{36 x^{2}}$

Step 3

Rewrite $36 x^{2}$ as ${(6 x)}^{2}$ .

$| x | \sqrt[4]{{(6 x)}^{2}}$

Step 4

Rewrite $\sqrt[4]{{(6 x)}^{2}}$ as $\sqrt{\sqrt{{(6 x)}^{2}}}$ .

$| x | \sqrt{\sqrt{{(6 x)}^{2}}}$

Step 5

Pull terms out from under the radical.

$| x | \sqrt{| 6 x |}$

Step 6

Remove non-negative terms from the absolute value.

$| x | \sqrt{6 | x |}$