Multiply. Write your answer in simplest form. -sqrt 3(9 + sqrt 3) ______

Distribute and Multiply: Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(9 + sqrt(3)) = -sqrt(3)*9 + -sqrt(3)*sqrt(3)Multiply by 9: Multiply -sqrt(3) by 9. -sqrt(3)*9 = -9*sqrt(3)Multiply by sqrt(3): Multiply -sqrt(3) by sqrt(3). -sqrt(3)*sqrt(3) = -(sqrt(3))^2 Since the square root and the square cancel each other out, this simplifies to -3.Combine Results: Combine the results from the previous steps. -9*sqrt(3) - 3 This is the simplified form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(9 + \sqrt{3})$

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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}(9 + \sqrt{3})

Distribute and Multiply: Distribute $-\sqrt{3}$ to both terms inside the parentheses. $-\sqrt{3}(9 + \sqrt{3}) = -\sqrt{3}\times 9 + -\sqrt{3}\times\sqrt{3}$
Multiply by $9$ : Multiply $-\sqrt{3}$ by $9$ . $-\sqrt{3}\times 9$ $= -9\times\sqrt{3}$
Multiply by $\sqrt{3}$ : Multiply $-\sqrt{3}$ by $\sqrt{3}$ .
$-\sqrt{3}\times\sqrt{3}$
= $-\left(\sqrt{3}\right)^2$
Since the square root and the square cancel each other out, this simplifies to $-3$ .
Combine Results: Combine the results from the previous steps. $\newline$ $-9\sqrt{3} - 3$ $\newline$ This is the simplified form of the expression.