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

Distribute and Multiply: Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-10 - sqrt(3)) = -sqrt(3)*(-10) - sqrt(3)*(-sqrt(3))Multiply by -10: Multiply -sqrt(3) by -10. -sqrt(3) * (-10) = 10sqrt(3)Multiply by -sqrt(3): Multiply -sqrt(3) by -sqrt(3). -sqrt(3) * (-sqrt(3)) = sqrt(3) * sqrt(3) = 3Combine Results: Combine the results from Step 2 and Step 3. 10sqrt(3) + 3

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

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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{3}(-10 - \sqrt{3})

Distribute and Multiply: Distribute $-\sqrt{3}$ to both terms inside the parentheses. $\newline$ $-\sqrt{3}(-10 - \sqrt{3})$ $\newline$ = $-\sqrt{3}\cdot(-10) - \sqrt{3}\cdot(-\sqrt{3})$
Multiply by $-10$ : Multiply $-\sqrt{3}$ by $-10$ . $-\sqrt{3} \times (-10) = 10\sqrt{3}$
Multiply by $-\sqrt{3}$ : Multiply $-\sqrt{3}$ by $-\sqrt{3}$ . $\newline$ -\sqrt{$3$} \times (-\sqrt{$3$}) = \sqrt{$3$} \times \sqrt{$3$} = \(3\
Combine Results: Combine the results from Step $2$ and Step $3$ . $10\sqrt{3} + 3$