Multiply. Write your answer in simplest form. sqrt 5(-10 - sqrt 2) ______

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(-10 - sqrt(2)) = sqrt(5)*(-10) + sqrt(5)*(-sqrt(2))Multiply sqrt(5) by -10: Multiply sqrt(5) by -10. sqrt(5) * (-10) = -10 * sqrt(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. -10 * sqrt(5) - sqrt(10)

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

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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}(-10 - \sqrt{2})

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