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

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

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

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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{2}(-10 + \sqrt{5})

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