Multiply. Write your answer in simplest form. -sqrt 5(3 - sqrt 5) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(3 - sqrt(5)) = -sqrt(5)*3 - sqrt(5)*(-sqrt(5))Simplify first term: Simplify the first term. -sqrt(5) * 3 = -3sqrt(5)Simplify second term: Simplify the second term using the property that sqrt(a) * sqrt(a) = a. -sqrt(5) * (-sqrt(5)) = sqrt(5) * sqrt(5) = 5Combine results: Combine the results from Step 2 and Step 3. -3sqrt(5) + 5

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(3 - \sqrt{5})$

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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{5}(3 - \sqrt{5})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(3 - \sqrt{ $5$ }) = -\sqrt{ $5$ }\cdot $3$ - \sqrt{ $5$ }\cdot(-\sqrt{ $5$ })
Simplify first term: Simplify the first term. $-\sqrt{5} \times 3 = -3\sqrt{5}$
Simplify second term: Simplify the second term using the property that $\sqrt{a} \cdot \sqrt{a} = a$ . $-\sqrt{5} \cdot (-\sqrt{5}) = \sqrt{5} \cdot \sqrt{5} = 5$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-3\sqrt{5} + 5$