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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{15} \times \sqrt{5}$

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Multiply radical expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{15} \times \sqrt{5}

Multiply square roots: Multiply the square roots together using the product rule. $\sqrt{15} \times \sqrt{5} = \sqrt{15 \times 5}$
Calculate product inside radical: Calculate the product inside the radical. $\sqrt{15 \times 5} = \sqrt{75}$
Simplify square root of $75$ : Simplify the square root of $75$ . $\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3}$
Recognize perfect square: Recognize that $\sqrt{25}$ is a perfect square. $\sqrt{25} \times \sqrt{3} = 5 \times \sqrt{3}$
Write final answer: Write the final answer in simplest form. $\newline$ $5 \times \sqrt{3}$

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