Simplify square root of 8* square root of 16

$\sqrt{8} \cdot \sqrt{16}$

Step 1

Rewrite $8$ as $2^{2} \cdot 2$ .

Factor $4$ out of $8$ .

$\sqrt{4 (2)} \cdot \sqrt{16}$

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

$\sqrt{2^{2} \cdot 2} \cdot \sqrt{16}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{2} \cdot \sqrt{16}$

Step 3

Simplify the expression.

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

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

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

$2 \sqrt{2} \cdot 4$

Multiply $4$ by $2$ .

$8 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{2}$

Decimal Form:

$11.31370849 \dots$