Multiply. Write your answer in simplest form. sqrt 5(-9 - sqrt 3) ______

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(-9 - sqrt(3)) = sqrt(5) * (-9) + sqrt(5) * (-sqrt(3))Multiply by -9: We have: sqrt(5) × (-9) This is a straightforward multiplication of a radical with a real number. sqrt(5) * (-9) = -9 * sqrt(5)Multiply by -sqrt(3): Now, we have: sqrt(5) × (-sqrt(3)) Apply the product rule of radicals. sqrt(5) * (-sqrt(3)) = -sqrt(5 * 3) = -sqrt(15)Combine results: Combine the results from the previous steps to get the final simplified expression. -9 * sqrt(5) - sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(-9 - \sqrt{3})$

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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}(-9 - \sqrt{3})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\sqrt{5}(-9 - \sqrt{3}) = \sqrt{5} \times (-9) + \sqrt{5} \times (-\sqrt{3})$
Multiply by $-9$ : We have: $\newline$ $\sqrt{5} \times (-9)$ $\newline$ This is a straightforward multiplication of a radical with a real number. $\newline$ $\sqrt{5} \times (-9) = -9 \times \sqrt{5}$
Multiply by $-\sqrt{3}$ : Now, we have: $\newline$ $\sqrt{5} \times (-\sqrt{3})$ $\newline$ Apply the product rule of radicals. $\newline$ $\sqrt{5} \times (-\sqrt{3}) = -\sqrt{5 \times 3} = -\sqrt{15}$
Combine results: Combine the results from the previous steps to get the final simplified expression. $\newline$ $-9 \times \sqrt{5} - \sqrt{15}$