Multiply. Write your answer in simplest form. -sqrt 5(7 - sqrt 2) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(7 - sqrt(2)) = -sqrt(5)*7 - sqrt(5)*(-sqrt(2))Multiply -sqrt(5) by 7: Multiply -sqrt(5) by 7. -sqrt(5) * 7 = -7sqrt(5)Multiply -sqrt(5) by -sqrt(2): Multiply -sqrt(5) by -sqrt(2). -sqrt(5) * (-sqrt(2)) = sqrt(5 * 2) = sqrt(10)Combine results: Combine the results from Step 2 and Step 3. -7sqrt(5) + sqrt(10)

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

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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{5}(7 - \sqrt{2})

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