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))Calculate product of sqrt(3) and -4: Calculate the product of sqrt(3) and -4. sqrt(3) * (-4) = -4 * sqrt(3)Calculate product of sqrt(3) and -sqrt(3): Calculate the product of sqrt(3) and -sqrt(3). sqrt(3) * (-sqrt(3)) = -(sqrt(3) * sqrt(3)) = -3Combine results: Combine the results from the previous steps. -4 * sqrt(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. $\newline$ $\sqrt{3}(-4 - \sqrt{3})$ $\newline$ = $\sqrt{3} \times (-4) + \sqrt{3} \times (-\sqrt{3})$
Calculate product of $\sqrt{3}$ and $-4$ : Calculate the product of $\sqrt{3}$ and $-4$ . $\newline$ $\sqrt{3} \times (-4) = -4 \times \sqrt{3}$
Calculate product of $\sqrt{3}$ and $-\sqrt{3}$ : Calculate the product of $\sqrt{3}$ and $-\sqrt{3}$ . $\newline$ $\sqrt{3} \times (-\sqrt{3}) = -(\sqrt{3} \times \sqrt{3}) = -3$
Combine results: Combine the results from the previous steps. $\newline$ $-4 \times \sqrt{3} - 3$