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

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(4 - sqrt(3)) = -sqrt(3)*4 - sqrt(3)*(-sqrt(3))Multiply -sqrt(3) by 4: Multiply -sqrt(3) by 4. -sqrt(3) * 4 = -4sqrt(3)Multiply -sqrt(3) 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. -4sqrt(3) + 3

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

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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{3}(4 - \sqrt{3})

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