Simplify 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 $10^{2}$ .

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

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

Pull terms out from under the radical.

$0.7 (10 \sqrt{3})$

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

Multiply $10$ by $0.7$ .

$7 \sqrt{3}$

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

$12.12435565$

$12.12435565$

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