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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-7 + \sqrt{5})$

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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}(-7 + \sqrt{5})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses.-\sqrt{\(2\)}(\(-7 + \sqrt{ $5$ }) = -\sqrt{ $2$ }( $-7$ ) + (-\sqrt{ $2$ })(\sqrt{ $5$ })
Multiply $-\sqrt{2}$ by $-7$ : Multiply $-\sqrt{2}$ by $-7$ .
$-\sqrt{2} \times (-7)$
= $7 \times \sqrt{2}$
Multiply $-\sqrt{2}$ by $\sqrt{5}$ : Multiply $-\sqrt{2}$ by $\sqrt{5}$ . $\newline$ $-\sqrt{2} \times \sqrt{5}$ $\newline$ = $-\sqrt{2 \times 5}$ $\newline$ = $-\sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $7 \times \sqrt{2} - \sqrt{10}$

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