Multiply. Write your answer in simplest form. -sqrt 5(8 + sqrt 3) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(8 + sqrt(3)) = -sqrt(5)*8 + -sqrt(5)*sqrt(3)Multiply -sqrt(5) by 8: Multiply -sqrt(5) by 8. -sqrt(5) * 8 = -8sqrt(5)Multiply -sqrt(5) by sqrt(3): Multiply -sqrt(5) by sqrt(3). -sqrt(5) * sqrt(3) = -sqrt(5*3) = -sqrt(15)Combine results: Combine the results from Step 2 and Step 3. -8sqrt(5) - sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(8 + \sqrt{3})$

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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}(8 + \sqrt{3})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(8 + \sqrt{3}) = -\sqrt{5}\times 8 + -\sqrt{5}\times \sqrt{3}$
Multiply $-\sqrt{5}$ by $8$ : Multiply $-\sqrt{5}$ by $8$ . $\newline$ $-\sqrt{5} \times 8 = -8\sqrt{5}$
Multiply $-\sqrt{5}$ by $\sqrt{3}$ : Multiply $-\sqrt{5}$ by $\sqrt{3}$ . $\newline$ $-\sqrt{5} \times \sqrt{3} = -\sqrt{5\times3} = -\sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-8\sqrt{5} - \sqrt{15}$