Multiply. Write your answer in simplest form. -sqrt 5(6 + sqrt 5) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(6 + sqrt(5)) = -sqrt(5)*6 + (-sqrt(5))*(sqrt(5))Multiply -sqrt(5) by 6: Multiply -sqrt(5) by 6. -sqrt(5) * 6 = -6sqrt(5)Multiply -sqrt(5) by sqrt(5: Multiply -sqrt(5) by sqrt(5). -sqrt(5) * sqrt(5) = -5 This is because the square root of a number times itself equals the number.Combine results: Combine the results from Step 2 and Step 3. -6sqrt(5) + (-5)Write final answer: Write the final answer in simplest form. The final answer is -6sqrt(5) - 5.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(6 + \sqrt{5})$

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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}(6 + \sqrt{5})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{$5$}(\(6 + \sqrt{ $5$ }) = -\sqrt{ $5$ }\cdot $6$ + (-\sqrt{ $5$ })\cdot(\sqrt{ $5$ })
Multiply $-\sqrt{5}$ by $6$ : Multiply $-\sqrt{5}$ by $6$ . $\newline$ $-\sqrt{5} \times 6 = -6\sqrt{5}$
Multiply $-\sqrt{5}$ by $\sqrt{5}$ : Multiply $-\sqrt{5}$ by $\sqrt{5}$ . $\newline$ $-\sqrt{5} \times \sqrt{5} = -5$ $\newline$ This is because the square root of a number times itself equals the number.
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-6\sqrt{5} + (-5)$
Write final answer: Write the final answer in simplest form. $\newline$ The final answer is $-6\sqrt{5} - 5$ .