Simplify the Radical Expression fourth root of 9x^2

$\sqrt[4]{9 x^{2}}$

Step 1

Rewrite $9 x^{2}$ as ${(3 x)}^{2}$ .

$\sqrt[4]{{(3 x)}^{2}}$

Step 2

Rewrite $\sqrt[4]{{(3 x)}^{2}}$ as $\sqrt{\sqrt{{(3 x)}^{2}}}$ .

$\sqrt{\sqrt{{(3 x)}^{2}}}$

Step 3

Pull terms out from under the radical.

$\sqrt{| 3 x |}$

Step 4

Remove non-negative terms from the absolute value.

$\sqrt{3 | x |}$