Simplify the Radical Expression square root of x^17

$\sqrt{x^{17}}$

Rewrite $x^{17}$ as ${(x^{8})}^{2} x$ .

Factor out $x^{16}$ .

$\sqrt{x^{16} x}$

Rewrite $x^{16}$ as ${(x^{8})}^{2}$ .

$\sqrt{{(x^{8})}^{2} x}$

Pull terms out from under the radical.

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

Remove non-negative terms from the absolute value.

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