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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-6 - \sqrt{5})$

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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}(-6 - \sqrt{5})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses.-\sqrt{\(2\)}(\(-6 - \sqrt{ $5$ }) = -\sqrt{ $2$ } \cdot ( $-6$ ) - \sqrt{ $2$ } \cdot (-\sqrt{ $5$ })
Multiply $-\sqrt{2}$ by $-6$ : Multiply $-\sqrt{2}$ by $-6$ . $\newline$ $-\sqrt{2} \times (-6)$ $\newline$ $= 6\sqrt{2}$
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 $3$ . $6\sqrt{2} + \sqrt{10}$

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