Multiply. Write your answer in simplest form. -sqrt 5(4 - sqrt 2) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(4 - sqrt(2)) = -sqrt(5) * 4 + sqrt(5) * sqrt(2)Multiply -sqrt(5) by 4: Multiply -sqrt(5) by 4. -sqrt(5) * 4 = -4sqrt(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. -4sqrt(5) + sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(4 - \sqrt{2})$

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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}(4 - \sqrt{2})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(4 - \sqrt{2}) = -\sqrt{5} \times 4 + \sqrt{5} \times \sqrt{2}$
Multiply $-\sqrt{5}$ by $4$ : Multiply $-\sqrt{5}$ by $4$ . $\newline$ $-\sqrt{5} \times 4 = -4\sqrt{5}$
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 $3$ . $\newline$ $-4\sqrt{5} + \sqrt{10}$