Evaluate square root of 2 square root of 8

$\sqrt{2} \sqrt{8}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 8}$

Step 2

Simplify the expression.

Multiply $2$ by $8$ .

$\sqrt{16}$

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

$\sqrt{4^{2}}$

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

$4$