Simplify square root of 2^4* square root of 5

$\sqrt{2^{4}} \cdot \sqrt{5}$

Step 1

Raise $2$ to the power of $4$ .

$\sqrt{16} \cdot \sqrt{5}$

Step 2

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2}} \cdot \sqrt{5}$

Step 3

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

$4 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{5}$

Decimal Form:

$8.94427190 \dots$