Simplify the Radical Expression ( square root of 32)/4

$\frac{\sqrt{32}}{4}$

Step 1

Simplify the numerator.

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

Factor $16$ out of $32$ .

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

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

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

Pull terms out from under the radical.

$\frac{| 4 | \sqrt{2}}{4}$

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

$\frac{4 \sqrt{2}}{4}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 \sqrt{2}}{4}$

Divide $\sqrt{2}$ by $1$ .

$\sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$