Multiply. Write your answer in simplest form. -sqrt 5(9 + sqrt 5) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(9 + sqrt(5)) = -sqrt(5)*9 + -sqrt(5)*sqrt(5)Multiply -sqrt(5) by 9: Multiply -sqrt(5) by 9. -sqrt(5)*9 = -9*sqrt(5)Multiply -sqrt(5) by sqrt(5): Multiply -sqrt(5) by sqrt(5). -sqrt(5)*sqrt(5) = -(sqrt(5))^2 Since the square root and the square cancel each other out, this simplifies to -5.Combine results: Combine the results from Step 2 and Step 3. -9*sqrt(5) - 5 This is the final answer in simplest form.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(9 + \sqrt{5})$

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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{5}(9 + \sqrt{5})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(9 + \sqrt{5}) = -\sqrt{5}\times 9 + -\sqrt{5}\times\sqrt{5}$
Multiply $-\sqrt{5}$ by $9$ : Multiply $-\sqrt{5}$ by $9$ . $\newline$ $-\sqrt{5}\times 9$ $\newline$ $= -9\times\sqrt{5}$
Multiply $-\sqrt{5}$ by $\sqrt{5}$ : Multiply $-\sqrt{5}$ by $\sqrt{5}$ . $-\sqrt{5}\times\sqrt{5}$ $= -(\sqrt{5})^2$ Since the square root and the square cancel each other out, this simplifies to $-5$ .
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-9\sqrt{5} - 5$ $\newline$ This is the final answer in simplest form.