Multiply. Write your answer in simplest form. -sqrt 2(-9 + sqrt 3) ______

Distribute -sqrt(2): Distribute -sqrt(2) to both terms inside the parentheses. -sqrt(2)(-9 + sqrt(3)) = -sqrt(2)*(-9) + -sqrt(2)*(sqrt(3))Multiply -sqrt(2) by -9: Multiply -sqrt(2) by -9. -sqrt(2)*(-9) = 9*sqrt(2)Multiply -sqrt(2) by sqrt(3): Multiply -sqrt(2) by sqrt(3). -sqrt(2)*sqrt(3) = -sqrt(2*3) = -sqrt(6)Combine results: Combine the results from Step 2 and Step 3. 9*sqrt(2) - sqrt(6) This is the simplest form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-9 + \sqrt{3})$

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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{2}(-9 + \sqrt{3})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses.-\sqrt{$2$}(\(-9 + \sqrt{ $3$ }) = -\sqrt{ $2$ }( $-9$ ) + -\sqrt{ $2$ }(\sqrt{ $3$ })
Multiply $-\sqrt{2}$ by $-9$ : Multiply $-\sqrt{2}$ by $-9$ . $\newline$ $-\sqrt{2}\cdot(-9)$ $\newline$ $= 9\sqrt{2}$
Multiply $-\sqrt{2}$ by $\sqrt{3}$ : Multiply $-\sqrt{2}$ by $\sqrt{3}$ . $\newline$ $-\sqrt{2}\times\sqrt{3}$ $\newline$ = $-\sqrt{2\times3}$ $\newline$ = $-\sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $9\sqrt{2} - \sqrt{6}$ $\newline$ This is the simplest form of the expression.