Multiply. Write your answer in simplest form. sqrt 2(-9 + sqrt 5) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-9 + sqrt(5)) = sqrt(2) * (-9) + sqrt(2) * sqrt(5)Multiply by -9: Multiply sqrt(2) by -9. sqrt(2) * (-9) = -9 * sqrt(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. -9 * sqrt(2) + sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(-9 + \sqrt{5})$

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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}(-9 + \sqrt{5})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\sqrt{2}(-9 + \sqrt{5})$ = $\sqrt{2} \times (-9)$ + $\sqrt{2} \times \sqrt{5}$
Multiply by $-9$ : Multiply $\sqrt{2}$ by $-9$ . $\sqrt{2} \times (-9) = -9 \times \sqrt{2}$
Multiply by $\sqrt{5}$ : Multiply $\sqrt{2}$ by $\sqrt{5}$ . $\sqrt{2} \times \sqrt{5} = \sqrt{2 \times 5} = \sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-9 \times \sqrt{2} + \sqrt{10}$