Simplify the Radical Expression -6 square root of 150r

$- 6 \sqrt{150 r}$

Step 1

Rewrite $150 r$ as $5^{2} \cdot (6 r)$ .

Factor $25$ out of $150$ .

$- 6 \sqrt{25 (6) r}$

Rewrite $25$ as $5^{2}$ .

$- 6 \sqrt{5^{2} \cdot 6 r}$

Add parentheses.

$- 6 \sqrt{5^{2} \cdot (6 r)}$

Step 2

Pull terms out from under the radical.

$- 6 (| 5 | \sqrt{6 r})$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $5$ is $5$ .

$- 6 (5 \sqrt{6 r})$

Step 4

Multiply $5$ by $- 6$ .

$- 30 \sqrt{6 r}$