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

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(5 - sqrt(5)) = -sqrt(3)*5 + sqrt(3)*sqrt(5)Multiply -sqrt(3) by 5: Multiply -sqrt(3) by 5. -sqrt(3) * 5 = -5sqrt(3)Multiply sqrt(3) by sqrt(5): Multiply sqrt(3) by sqrt(5). sqrt(3) * sqrt(5) = sqrt(3 * 5) = sqrt(15)Combine results: Combine the results from Step 2 and Step 3. -5sqrt(3) + sqrt(15)

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

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

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses. $-\sqrt{3}(5 - \sqrt{5}) = -\sqrt{3}\cdot 5 + \sqrt{3}\cdot\sqrt{5}$
Multiply $-\sqrt{3}$ by $5$ : Multiply $-\sqrt{3}$ by $5$ . $\newline$ $-\sqrt{3} \times 5 = -5\sqrt{3}$
Multiply $\sqrt{3}$ by $\sqrt{5}$ : Multiply $\sqrt{3}$ by $\sqrt{5}$ . $\newline$ $\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-5\sqrt{3} + \sqrt{15}$