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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-2 + \sqrt{2})$

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Simplify radical expressions using the distributive property

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Q. Multiply. Write your answer in simplest form.

\newline

-\sqrt{3}(-2 + \sqrt{2})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{\(3\)}(\(-2 + \sqrt{ $2$ }) = -\sqrt{ $3$ }( $-2$ ) + -\sqrt{ $3$ }(\sqrt{ $2$ })
Multiply $-\sqrt{3}$ by $-2$ : Multiply $-\sqrt{3}$ by $-2$ . $\newline$ $-\sqrt{3}\cdot(-2)$ $\newline$ $= 2\sqrt{3}$
Multiply $-\sqrt{3}$ by $\sqrt{2}$ : Multiply $-\sqrt{3}$ by $\sqrt{2}$ . $\newline$ $-\sqrt{3}\times\sqrt{2}$ $\newline$ = $-\sqrt{3\times2}$ $\newline$ = $-\sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $2\sqrt{3} - \sqrt{6}$

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