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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-10 - \sqrt{5})$

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Simplify radical expressions using the distributive property

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Q. Multiply. Write your answer in simplest form.

\newline

-\sqrt{2}(-10 - \sqrt{5})

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

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