Evaluate square root of fourth root of 256

$\sqrt{\sqrt[4]{256}}$

Step 1

Rewrite $256$ as $4^{4}$ .

$\sqrt{\sqrt[4]{4^{4}}}$

Step 2

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

$\sqrt{4}$

Step 3

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2}}$

Step 4

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

$2$