Simplify the Radical Expression 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

Multiply $2$ by $8$ .

$\sqrt{16}$

Step 3

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

$\sqrt{4^{2}}$

Step 4

Pull terms out from under the radical.

$| 4 |$

Step 5

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$4$