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

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

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

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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}(-5 - \sqrt{3})

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