Simplify the Radical Expression 0.7 square root of 300

$0.7 \sqrt{300}$

Rewrite $300$ as $10^{2} \cdot 3$ .

Factor $100$ out of $300$ .

$0.7 \sqrt{100 (3)}$

Rewrite $100$ as $10^{2}$ .

$0.7 \sqrt{10^{2} \cdot 3}$

Pull terms out from under the radical.

$0.7 (| 10 | \sqrt{3})$

The absolute value is the distance between a number and zero. The distance between $0$ and $10$ is $10$ .

$0.7 (10 \sqrt{3})$

Multiply $0.7 (10 \sqrt{3})$ .

Multiply $10$ by $0.7$ .

$7 \sqrt{3}$

Multiply $7$ by $\sqrt{3}$ .

$12.12435565$