Multiply. Write your answer in simplest form. -sqrt 5(-10 - sqrt 3) ______

Distribute and Multiply: Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-10 - sqrt(3)) = -sqrt(5)*(-10) - sqrt(5)*(-sqrt(3))Multiply by -10: Multiply -sqrt(5) by -10. -sqrt(5) * (-10) = 10sqrt(5)Multiply by -sqrt(3): Multiply -sqrt(5) by -sqrt(3). -sqrt(5) * (-sqrt(3)) = sqrt(5) * sqrt(3) = sqrt(15)Combine Results: Combine the results from Step 2 and Step 3. 10sqrt(5) + sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-10 - \sqrt{3})$

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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{5}(-10 - \sqrt{3})

Distribute and Multiply: Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(-10 - \sqrt{ $3$ }) = -\sqrt{ $5$ }( $-10$ ) - \sqrt{ $5$ }(-\sqrt{ $3$ })
Multiply by $-10$ : Multiply $-\sqrt{5}$ by $-10$ . $-\sqrt{5} \times (-10) = 10\sqrt{5}$
Multiply by $-\sqrt{3}$ : Multiply $-\sqrt{5}$ by $-\sqrt{3}$ . $-\sqrt{5} \times (-\sqrt{3}) = \sqrt{5} \times \sqrt{3} = \sqrt{15}$
Combine Results: Combine the results from Step $2$ and Step $3$ . $10\sqrt{5} + \sqrt{15}$