Multiply. Write your answer in simplest form. -sqrt 3(-4 + sqrt 2) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-4 + sqrt(2)) = -sqrt(3)*(-4) + -sqrt(3)*(sqrt(2))Multiply -sqrt(3) by -4: Multiply -sqrt(3) by -4. -sqrt(3)*(-4) = 4*sqrt(3)Multiply -sqrt(3) by sqrt(2): Multiply -sqrt(3) by sqrt(2). -sqrt(3)*sqrt(2) = -sqrt(3*2) = -sqrt(6)Combine results: Combine the results from Step 2 and Step 3. 4*sqrt(3) - sqrt(6)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-4 + \sqrt{2})$

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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{2})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{$3$}(\(-4 + \sqrt{ $2$ }) = -\sqrt{ $3$ }( $-4$ ) + -\sqrt{ $3$ }(\sqrt{ $2$ })
Multiply $-\sqrt{3}$ by $-4$ : Multiply $-\sqrt{3}$ by $-4$ . $-\sqrt{3}\cdot(-4)$ $= 4\sqrt{3}$
Multiply $-\sqrt{3}$ by $\sqrt{2}$ : Multiply $-\sqrt{3}$ by $\sqrt{2}$ . $\newline$ $-\sqrt{3}\times\sqrt{2}$ $\newline$ = $-\sqrt{3\times2}$ $\newline$ = $-\sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $4\sqrt{3} - \sqrt{6}$