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Simplify.

sqrt147

Simplify. $\newline$ $\sqrt{147}$

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Simplify radical expressions: mixed review

Full solution

Q. Simplify.

\newline

\sqrt{147}

Breakdown into Prime Factors: Let's break down $147$ into its prime factors. $\newline$ $147 = 3 \times 49$
Simplify Perfect Square: Now, let's simplify $49$ because it's a perfect square. $\newline$ $49 = 7 \times 7$
Write as Product of Radicals: So, we can write $\sqrt{147}$ as $\sqrt{3 \times 7 \times 7}$ .
Apply Product Property: Using the product property of radicals, we get $\sqrt{3} \times \sqrt{7 \times 7}$ .
Final Simplification: Since $\sqrt{7 \times 7}$ is just $7$ , we have $\sqrt{3} \times 7$ .
Write the Answer: Finally, we can write the answer as $7\sqrt{3}$ .

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