Multiply. Write your answer in simplest form. -sqrt 3(-6 - sqrt 3) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-6 - sqrt(3)) = -sqrt(3)*(-6) - sqrt(3)*(-sqrt(3))Multiply -sqrt(3) by -6: Multiply -sqrt(3) by -6. -sqrt(3)*(-6) = 6*sqrt(3)Multiply -sqrt(3) by -sqrt(3): Multiply -sqrt(3) by -sqrt(3). -sqrt(3)*(-sqrt(3)) = sqrt(3)*sqrt(3) Since the square root of a number times itself is just the number, we have: sqrt(3)*sqrt(3) = 3Combine results: Combine the results from Step 2 and Step 3. 6*sqrt(3) + 3

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-6 - \sqrt{3})$

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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}(-6 - \sqrt{3})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{$3$}(\(-6 - \sqrt{ $3$ }) = -\sqrt{ $3$ }( $-6$ ) - \sqrt{ $3$ }(-\sqrt{ $3$ })
Multiply $-\sqrt{3}$ by $-6$ : Multiply $-\sqrt{3}$ by $-6$ . $\newline$ $-\sqrt{3}\cdot(-6) = 6\sqrt{3}$
Multiply $-\sqrt{3}$ by $-\sqrt{3}$ : Multiply $-\sqrt{3}$ by $-\sqrt{3}$ . $\newline$ $-\sqrt{3}\times(-\sqrt{3}) = \sqrt{3}\times\sqrt{3}$ $\newline$ Since the square root of a number times itself is just the number, we have: $\newline$ $\sqrt{3}\times\sqrt{3} = 3$
Combine results: Combine the results from Step $2$ and Step $3$ . $6\sqrt{3} + 3$