Multiply. Write your answer in simplest form. -sqrt 5(-8 - sqrt 2) ______

Distribute and Multiply: Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-8 - sqrt(2)) = -sqrt(5) * (-8) - sqrt(5) * (-sqrt(2))Multiply by -8: Multiply -sqrt(5) by -8. -sqrt(5) * (-8) = 8sqrt(5)Multiply by -sqrt(2): Multiply -sqrt(5) by -sqrt(2). -sqrt(5) * (-sqrt(2)) = sqrt(5) * sqrt(2) = sqrt(10)Combine Results: Combine the results from Step 2 and Step 3. 8sqrt(5) + sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-8 - \sqrt{2})$

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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}(-8 - \sqrt{2})

Distribute and Multiply: Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(-8 - \sqrt{ $2$ }) = -\sqrt{ $5$ } \times ( $-8$ ) - \sqrt{ $5$ } \times (-\sqrt{ $2$ })
Multiply by $-8$ : Multiply $-\sqrt{5}$ by $-8$ . $-\sqrt{5} \times (-8) = 8\sqrt{5}$
Multiply by $-\sqrt{2}$ : Multiply $-\sqrt{5}$ by $-\sqrt{2}$ . $\newline$ $-\sqrt{5} \times (-\sqrt{2}) = \sqrt{5} \times \sqrt{2} = \sqrt{10}$
Combine Results: Combine the results from Step $2$ and Step $3$ . $8\sqrt{5} + \sqrt{10}$