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

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

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

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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}(5 + \sqrt{2})

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