Simplify the Radical Expression 2 square root of 32

$2 \sqrt{32}$

Step 1

Rewrite $32$ as $4^{2} \cdot 2$ .

Factor $16$ out of $32$ .

$2 \sqrt{16 (2)}$

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

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

Step 2

Pull terms out from under the radical.

$2 (| 4 | \sqrt{2})$

Step 3

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

$2 (4 \sqrt{2})$

Step 4

Multiply $4$ by $2$ .

$8 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{2}$

Decimal Form:

$11.31370849 \dots$