Question

simplify.
$10\sqrt{12}$

Explanation:

Step1: Factor radicand into square factor

$\sqrt{12} = \sqrt{4 \times 3}$

Step2: Separate square root of factors

$\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3}$

Step3: Simplify perfect square root

$\sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

Step4: Multiply by the coefficient

$10 \times 2\sqrt{3} = 20\sqrt{3}$

Answer:

$20\sqrt{3}$