Evaluate square root of square root of 625

$\sqrt{\sqrt{625}}$

Step 1

Rewrite $625$ as $25^{2}$ .

$\sqrt{\sqrt{25^{2}}}$

Step 2

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

$\sqrt{25}$

Step 3

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

Step 4

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

$5$