Algebra Examples

$\sqrt[4]{625 x^{2}}$

Step 1

Rewrite $625$ as $5^{4}$ .

$\sqrt[4]{5^{4} x^{2}}$

Step 2

Pull terms out from under the radical.

$| 5 | \sqrt[4]{x^{2}}$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $5$ is $5$ .

$5 \sqrt[4]{x^{2}}$

Step 4

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

$5 \sqrt{\sqrt{x^{2}}}$

Step 5

Pull terms out from under the radical.

$5 \sqrt{| x |}$