Multiply. Write your answer in simplest form. -sqrt 5(-9 - sqrt 5) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-9 - sqrt(5)) = -sqrt(5) * (-9) - sqrt(5) * (-sqrt(5))Multiply -sqrt(5) by -9: Multiply -sqrt(5) by -9. -sqrt(5) * (-9) = 9sqrt(5)Multiply -sqrt(5) by -sqrt(5): Multiply -sqrt(5) by -sqrt(5). -sqrt(5) * (-sqrt(5)) = sqrt(5) * sqrt(5)Apply product rule of radicals: Apply the product rule of radicals for sqrt(5) * sqrt(5). sqrt(5) * sqrt(5) = 5Combine results: Combine the results from Step 2 and Step 4. 9sqrt(5) + 5

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

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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{5}(-9 - \sqrt{5})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(-9 - \sqrt{ $5$ }) = -\sqrt{ $5$ } \times ( $-9$ ) - \sqrt{ $5$ } \times (-\sqrt{ $5$ })
Multiply $-\sqrt{5}$ by $-9$ : Multiply $-\sqrt{5}$ by $-9$ . $-\sqrt{5} \times (-9) = 9\sqrt{5}$
Multiply $-\sqrt{5}$ by $-\sqrt{5}$ : Multiply $-\sqrt{5}$ by $-\sqrt{5}$ . $-\sqrt{5} \times (-\sqrt{5}) = \sqrt{5} \times \sqrt{5}$
Apply product rule of radicals: Apply the product rule of radicals for $\sqrt{5} \times \sqrt{5}$ . $\sqrt{5} \times \sqrt{5} = 5$
Combine results: Combine the results from Step $2$ and Step $4$ . $\newline$ $9\sqrt{5} + 5$