Question

r.8.15
1 part -- of 1 point

simplify the square root, if possible.
\\(\sqrt{76}\\)

\\(\sqrt{76} = \\)
(type an exact answer, using radicals as needed.)

Explanation:

Find the largest perfect square factor of 76

$$ 76 = 4 \times 19 $$

Apply the product property of square roots

$$ \sqrt{76} = \sqrt{4 \times 19} = \sqrt{4} \times \sqrt{19} $$

Simplify the perfect square root

$$ \sqrt{76} = 2\sqrt{19} $$

Answer:

\(\sqrt{76} =\) <blank>\(2\sqrt{19}\)</blank>