Simplify the Radical Expression fourth root of 25x^2

$\sqrt[4]{25 x^{2}}$

Rewrite $25 x^{2}$ as ${(5 x)}^{2}$ .

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

Rewrite $\sqrt[4]{{(5 x)}^{2}}$ as $\sqrt{\sqrt{{(5 x)}^{2}}}$ .

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

Pull terms out from under the radical.

$\sqrt{| 5 x |}$

Remove non-negative terms from the absolute value.

$\sqrt{5 | x |}$