Algebra Examples

$- 6 \sqrt{150 r}$

Step 1

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

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Step 1.1

Factor $25$ out of $150$ .

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

Step 1.2

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

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

Step 1.3

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 $- 6$ .

$- 30 \sqrt{6 r}$