Question

simplify:

1. \sqrt{12}

Explanation:

Step1: Factor 12 into perfect square

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

Step2: Separate square roots

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

Step3: Multiply by 4

$4 \times 2\sqrt{3} = 8\sqrt{3}$

Answer:

$8\sqrt{3}$