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

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

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

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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}(2 + \sqrt{2})

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