Multiply. Write your answer in simplest form. -sqrt 5(-3 + sqrt 2) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-3 + sqrt(2)) = -sqrt(5) * (-3) + -sqrt(5) * sqrt(2)Multiply -sqrt(5) by -3: Multiply -sqrt(5) by -3. -sqrt(5) * (-3) = 3sqrt(5)Multiply -sqrt(5) by sqrt(2): Multiply -sqrt(5) by sqrt(2). -sqrt(5) * sqrt(2) = -sqrt(10)Combine results: Combine the results from Step 2 and Step 3. 3sqrt(5) - sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-3 + \sqrt{2})$

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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}(-3 + \sqrt{2})

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