Simplify 5 square root of square root of x^8

$5 \sqrt{\sqrt{x^{8}}}$

Rewrite $x^{8}$ as ${(x^{4})}^{2}$ .

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

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

$5 \sqrt{x^{4}}$

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

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

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

$5 x^{2}$