Question

simplify the expression.

\\\sqrt{28}\\

\\\sqrt{28} = \square\\
(type an exact answer, using radicals as needed.)

Explanation:

Find the largest perfect square factor

Using the Square Root Properties knowledge point

$$ 28 = 4 \times 7 $$

Apply the product rule for radicals

Using the Product Rule for Radicals knowledge point

$$ \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} $$

Simplify the square root of the perfect square

Using the Square Root Properties knowledge point

$$ \sqrt{4} = 2 \implies \sqrt{28} = 2\sqrt{7} $$

Answer:

Simplify the expression.

\(\sqrt{28} =\) <blank>\(2\sqrt{7}\)</blank>
(Type an exact answer, using radicals as needed.)