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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-9 - \sqrt{5})$

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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}(-9 - \sqrt{5})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{\(3\)}(\(-9 - \sqrt{ $5$ }) = -\sqrt{ $3$ }*( $-9$ ) - \sqrt{ $3$ }*(-\sqrt{ $5$ })
Multiply $-\sqrt{3}$ by $-9$ : Multiply $-\sqrt{3}$ by $-9$ . $\newline$ $-\sqrt{3} \times (-9)$ $\newline$ $= 9\sqrt{3}$
Multiply $-\sqrt{3}$ by $-\sqrt{5}$ : Multiply $-\sqrt{3}$ by $-\sqrt{5}$ . $\newline$ $-\sqrt{3} \times (-\sqrt{5})$ $\newline$ $= \sqrt{3} \times \sqrt{5}$ $\newline$ $= \sqrt{3 \times 5}$ $\newline$ $= \sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $9\sqrt{3} + \sqrt{15}$

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