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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{6} \times \sqrt{2}$

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Multiply radical expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{6} \times \sqrt{2}

Multiply Square Roots: Multiply the square roots directly. $\sqrt{6} \times \sqrt{2} = \sqrt{6 \times 2}$
Calculate Product Inside Radical: Calculate the product inside the radical. $\sqrt{6 \times 2} = \sqrt{12}$
Check for Simplification: Check if $\sqrt{12}$ can be simplified. $12$ is $4$ times $3$ , and $4$ is a perfect square.
Write Product Inside Radical: Write $12$ as the product of $4$ and $3$ inside the radical. $\newline$ $\sqrt{12} = \sqrt{4 \times 3}$
Simplify Perfect Square: Simplify the square root of the perfect square. $\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3}$
Calculate Square Root: Calculate the square root of $4$ . $\sqrt{4} = 2$
Write Final Answer: Write the final answer. $2 \times \sqrt{3}$

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