Multiply. Write your answer in simplest form. -sqrt 5(-4 - sqrt 3) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-4 - sqrt(3)) = -sqrt(5)*(-4) - sqrt(5)*(-sqrt(3))Multiply -sqrt(5) by -4: Multiply -sqrt(5) by -4. -sqrt(5)*(-4) = 4*sqrt(5)Multiply -sqrt(5) by -sqrt(3): Multiply -sqrt(5) by -sqrt(3). -sqrt(5)*(-sqrt(3)) = sqrt(5)*sqrt(3) = sqrt(5*3) = sqrt(15)Combine results: Combine the results from Step 2 and Step 3. 4*sqrt(5) + sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-4 - \sqrt{3})$

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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}(-4 - \sqrt{3})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(-4 - \sqrt{ $3$ }) = -\sqrt{ $5$ } \cdot ( $-4$ ) - \sqrt{ $5$ } \cdot (-\sqrt{ $3$ })
Multiply $-\sqrt{5}$ by $-4$ : Multiply $-\sqrt{5}$ by $-4$ . $\newline$ $-\sqrt{5}\cdot(-4)$ $\newline$ $= 4\sqrt{5}$
Multiply $-\sqrt{5}$ by $-\sqrt{3}$ : Multiply $-\sqrt{5}$ by $-\sqrt{3}$ . $-\sqrt{5}\cdot(-\sqrt{3})$ $= \sqrt{5}\cdot\sqrt{3}$ $= \sqrt{5\cdot3}$ $= \sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $4\sqrt{5} + \sqrt{15}$