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 by -7: Multiply sqrt(5) by -7. sqrt(5) * (-7) = -7 * sqrt(5)Multiply 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. -7 * sqrt(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. $\newline$ $\sqrt{5}(-7 + \sqrt{2})$ $\newline$ = $\sqrt{5}\cdot(-7) + \sqrt{5}\cdot(\sqrt{2})$
Multiply by $-7$ : Multiply $\sqrt{5}$ by $-7$ . $\sqrt{5} \times (-7) = -7 \times \sqrt{5}$
Multiply 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 $3$ . $\newline$ $-7 \times \sqrt{5} + \sqrt{10}$