Question

1. express $2\sqrt{108}$ in simplest radical form.

Explanation:

Step1: Factor 108 into square factor

$108 = 36 \times 3$

Step2: Split radical into product

$2\sqrt{108} = 2\sqrt{36 \times 3} = 2 \times \sqrt{36} \times \sqrt{3}$

Step3: Simplify $\sqrt{36}$

$\sqrt{36} = 6$, so $2 \times 6 \times \sqrt{3}$

Step4: Multiply coefficients

$2 \times 6 = 12$

Answer:

$12\sqrt{3}$