Multiply. Write your answer in simplest form. -sqrt 3(4 + sqrt 5) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(4 + sqrt(5)) = -sqrt(3)*4 + -sqrt(3)*sqrt(5)Multiply -sqrt(3) by 4: Multiply -sqrt(3) by 4. -sqrt(3)*4 = -4*sqrt(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. -4*sqrt(3) - sqrt(15)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(4 + \sqrt{5})$

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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}(4 + \sqrt{5})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses. $-\sqrt{3}(4 + \sqrt{5}) = -\sqrt{3}\cdot 4 + -\sqrt{3}\cdot \sqrt{5}$
Multiply $-\sqrt{3}$ by $4$ : Multiply $-\sqrt{3}$ by $4$ . $\newline$ $-\sqrt{3}\times 4$ $\newline$ = $-4\times\sqrt{3}$
Multiply $-\sqrt{3}$ by $\sqrt{5}$ : Multiply $-\sqrt{3}$ by $\sqrt{5}$ . $\newline$ $-\sqrt{3}\times\sqrt{5}$ $\newline$ = $-\sqrt{3\times5}$ $\newline$ = $-\sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-4\sqrt{3} - \sqrt{15}$