Multiply. Write your answer in simplest form. sqrt 5(-10 - sqrt 3) ______

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(-10 - sqrt(3)) = sqrt(5) * (-10) + sqrt(5) * (-sqrt(3))Multiply by -10: Multiply sqrt(5) by -10. sqrt(5) * (-10) = -10 * sqrt(5)Multiply by -sqrt(3): Multiply sqrt(5) by -sqrt(3). sqrt(5) * (-sqrt(3)) = -sqrt(5 * 3) = -sqrt(15)Combine to get final answer: Combine the two products to get the final answer. -10 * sqrt(5) - sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(-10 - \sqrt{3})$

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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}(-10 - \sqrt{3})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\sqrt{5}(-10 - \sqrt{3})$ = $\sqrt{5} \times (-10) + \sqrt{5} \times (-\sqrt{3})$
Multiply by $-10$ : Multiply $\sqrt{5}$ by $-10$ . $\newline$ $\sqrt{5} \times (-10) = -10 \times \sqrt{5}$
Multiply by $-\sqrt{3}$ : Multiply $\sqrt{5}$ by $-\sqrt{3}$ . $\sqrt{5} \times (-\sqrt{3}) = -\sqrt{5 \times 3} = -\sqrt{15}$
Combine to get final answer: Combine the two products to get the final answer. $-10 \times \sqrt{5} - \sqrt{15}$