Question

simplify: \\(\sqrt{12}\\)

Explanation:

Factor the radicand

$$ 12 = 4 \times 3 = 2^2 \times 3 $$

Apply the product rule for radicals

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

Simplify the perfect square

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

Answer:

Simplify: <blank>\(2\sqrt{3}\)</blank>