Question

simplify the expression.

\\\sqrt{28}\\

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

Explanation:

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<reasoning>

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
\[
\sqrt{4} = 2 \implies \sqrt{28} = 2\sqrt{7}
\]
</reasoning>

<answer>
Simplify the expression.

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

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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Simplifying Radicals"
]
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Answer:

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<reasoning>

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
\[
\sqrt{4} = 2 \implies \sqrt{28} = 2\sqrt{7}
\]
</reasoning>

<answer>
Simplify the expression.

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

<post_analysis>
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"knowledge_point": [
"Mathematics",
"Algebra",
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