Multiply. Write your answer in simplest form. -sqrt 5(-4 - sqrt 5) ______

Distribute and Multiply: Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-4 - sqrt(5)) = -sqrt(5)*(-4) - sqrt(5)*(-sqrt(5))Multiply by -4: Multiply -sqrt(5) by -4. -sqrt(5)*(-4) = 4*sqrt(5)Multiply by -sqrt(5): Multiply -sqrt(5) by -sqrt(5). -sqrt(5)*(-sqrt(5)) = sqrt(5)*sqrt(5) = 5Combine Results: Combine the results from Step 2 and Step 3. 4*sqrt(5) + 5

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-4 - \sqrt{5})$

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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}(-4 - \sqrt{5})

Distribute and Multiply: Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(-4 - \sqrt{ $5$ }) = -\sqrt{ $5$ }( $-4$ ) - \sqrt{ $5$ }(-\sqrt{ $5$ })
Multiply by $-4$ : Multiply $-\sqrt{5}$ by $-4$ . $-\sqrt{5}\cdot(-4) = 4\sqrt{5}$
Multiply by $-\sqrt{5}$ : Multiply $-\sqrt{5}$ by $-\sqrt{5}$ .
$-\sqrt{5}\times(-\sqrt{5})$
= $\sqrt{5}\times\sqrt{5}$
= $5$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $4\sqrt{5} + 5$