Simplify the Radical Expression 6k square root of 12k

$6 k \sqrt{12 k}$

Rewrite $12 k$ as $2^{2} \cdot (3 k)$ .

Factor $4$ out of $12$ .

$6 k \sqrt{4 (3) k}$

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

$6 k \sqrt{2^{2} \cdot 3 k}$

Add parentheses.

$6 k \sqrt{2^{2} \cdot (3 k)}$

Pull terms out from under the radical.

$6 k (| 2 | \sqrt{3 k})$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$6 k (2 \sqrt{3 k})$

Multiply $2$ by $6$ .

$12 k \sqrt{3 k}$