Simplify square root of (32x)/8

$\sqrt{\frac{32 x}{8}}$

Step 1

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{32 x}{8}$ by cancelling the common factors.

Factor $8$ out of $32 x$ .

$\sqrt{\frac{8 (4 x)}{8}}$

Factor $8$ out of $8$ .

$\sqrt{\frac{8 (4 x)}{8 (1)}}$

Cancel the common factor.

$\sqrt{\frac{8 (4 x)}{8 \cdot 1}}$

Rewrite the expression.

$\sqrt{\frac{4 x}{1}}$

Divide $4 x$ by $1$ .

$\sqrt{4 x}$

Step 2

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

$\sqrt{2^{2} x}$

Step 3

Pull terms out from under the radical.

$2 \sqrt{x}$