Multiply. Write your answer in simplest form. -sqrt 3(-5 - sqrt 2) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-5 - sqrt(2)) = -sqrt(3)*(-5) - sqrt(3)*(-sqrt(2))Multiply -sqrt(3) by -5: Multiply -sqrt(3) by -5. -sqrt(3) * (-5) = 5 * sqrt(3)Multiply -sqrt(3) by -sqrt(2): Multiply -sqrt(3) by -sqrt(2). -sqrt(3) * (-sqrt(2)) = sqrt(3) * sqrt(2) = sqrt(3 * 2) = sqrt(6)Combine results: Combine the results from Step 2 and Step 3. 5 * sqrt(3) + sqrt(6)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-5 - \sqrt{2})$

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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}(-5 - \sqrt{2})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{$3$}(\(-5 - \sqrt{ $2$ }) = -\sqrt{ $3$ } \cdot ( $-5$ ) - \sqrt{ $3$ } \cdot (-\sqrt{ $2$ })
Multiply $-\sqrt{3}$ by $-5$ : Multiply $-\sqrt{3}$ by $-5$ . $\newline$ $-\sqrt{3} \times (-5)$ $\newline$ $= 5 \times \sqrt{3}$
Multiply $-\sqrt{3}$ by $-\sqrt{2}$ : Multiply $-\sqrt{3}$ by $-\sqrt{2}$ . $\newline$ $-\sqrt{3} \times (-\sqrt{2})$ $\newline$ $= \sqrt{3} \times \sqrt{2}$ $\newline$ $= \sqrt{3 \times 2}$ $\newline$ $= \sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $5 \times \sqrt{3} + \sqrt{6}$