Simplify fourth root of 9(a+3)^2

$\sqrt[4]{9 {(a + 3)}^{2}}$

Step 1

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

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

Step 2

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

$\sqrt{\sqrt{{(3 (a + 3))}^{2}}}$

Step 3

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{3 (a + 3)}$