Simplify (3 square root of 32)/( square root of 2)

$\frac{3 \sqrt{32}}{\sqrt{2}}$

Step 1

Combine $\sqrt{32}$ and $\sqrt{2}$ into a single radical.

$3 \sqrt{\frac{32}{2}}$

Step 2

Simplify the expression.

Divide $32$ by $2$ .

$3 \sqrt{16}$

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

$3 \sqrt{4^{2}}$

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

$3 \cdot 4$

Multiply $3$ by $4$ .

$12$