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

Distribute -sqrt(2): Distribute -sqrt(2) to both terms inside the parentheses. -sqrt(2)(-5 - sqrt(5)) = -sqrt(2)*(-5) - sqrt(2)*(-sqrt(5))Multiply -sqrt(2) by -5: Multiply -sqrt(2) by -5. -sqrt(2) * (-5) = sqrt(2) * 5 = 5sqrt(2)Multiply -sqrt(2) by -sqrt(5): Multiply -sqrt(2) by -sqrt(5). -sqrt(2) * (-sqrt(5)) = sqrt(2) * sqrt(5) = sqrt(2 * 5) = sqrt(10)Combine results: Combine the results from Step 2 and Step 3. 5sqrt(2) + sqrt(10)

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

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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{5})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses.-\sqrt{$2$}(\(-5 - \sqrt{ $5$ }) = -\sqrt{ $2$ } \cdot ( $-5$ ) - \sqrt{ $2$ } \cdot (-\sqrt{ $5$ })
Multiply $-\sqrt{2}$ by $-5$ : Multiply $-\sqrt{2}$ by $-5$ . $\newline$ $-\sqrt{2} \times (-5)$ $\newline$ $= \sqrt{2} \times 5$ $\newline$ $= 5\sqrt{2}$
Multiply $-\sqrt{2}$ by $-\sqrt{5}$ : Multiply $-\sqrt{2}$ by $-\sqrt{5}$ . $\newline$ $-\sqrt{2} \times (-\sqrt{5})$ $\newline$ $= \sqrt{2} \times \sqrt{5}$ $\newline$ $= \sqrt{2 \times 5}$ $\newline$ $= \sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $5\sqrt{2} + \sqrt{10}$