Multiply. Write your answer in simplest form. -sqrt 3(-6 - sqrt 5) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-6 - sqrt(5)) = -sqrt(3) * (-6) - sqrt(3) * (-sqrt(5))Multiply -sqrt(3) by -6: Multiply -sqrt(3) by -6. -sqrt(3) * (-6) = 6sqrt(3)Multiply -sqrt(3) by -sqrt(5): Multiply -sqrt(3) by -sqrt(5). -sqrt(3) * (-sqrt(5)) = sqrt(3 * 5) = sqrt(15)Combine results: Combine the results from Step 2 and Step 3. 6sqrt(3) + sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-6 - \sqrt{5})$

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Algebra 2

Simplify radical expressions using the distributive property

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Q. Multiply. Write your answer in simplest form.

\newline

-\sqrt{3}(-6 - \sqrt{5})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{$3$}(\(-6 - \sqrt{ $5$ }) = -\sqrt{ $3$ } \times ( $-6$ ) - \sqrt{ $3$ } \times (-\sqrt{ $5$ })
Multiply $-\sqrt{3}$ by $-6$ : Multiply $-\sqrt{3}$ by $-6$ . $\newline$ $-\sqrt{3} \times (-6) = 6\sqrt{3}$
Multiply $-\sqrt{3}$ by $-\sqrt{5}$ : Multiply $-\sqrt{3}$ by $-\sqrt{5}$ . $\newline$ $-\sqrt{3} \times (-\sqrt{5}) = \sqrt{3 \times 5} = \sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $6\sqrt{3} + \sqrt{15}$