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

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(-5 - sqrt(5)) = sqrt(5) * (-5) + sqrt(5) * (-sqrt(5))Multiply by -5: Multiply the square root of 5 by -5. sqrt(5) * (-5) = -5 * sqrt(5)Multiply by -sqrt(5): Multiply the square root of 5 by the negative square root of 5. sqrt(5) * (-sqrt(5)) = -sqrt(5 * 5)Simplify square root: Simplify the square root of 25, which is 5. -sqrt(25) = -5Combine results: Combine the results from Step 2 and Step 4. -5 * sqrt(5) - 5

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

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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}(-5 - \sqrt{5})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\sqrt{5}(-5 - \sqrt{5})$ = $\sqrt{5} \times (-5) + \sqrt{5} \times (-\sqrt{5})$
Multiply by $-5$ : Multiply the square root of $5$ by $-5$ . $\newline$ $\sqrt{5} \times (-5) = -5 \times \sqrt{5}$
Multiply by $-\sqrt{5}$ : Multiply the square root of $5$ by the negative square root of $5$ . $\sqrt{5} \times (-\sqrt{5}) = -\sqrt{5 \times 5}$
Simplify square root: Simplify the square root of $25$ , which is $5$ .\[-\sqrt{$25$} = $-5$$
Combine results: Combine the results from Step $2$ and Step $4$.$\newline$$-5 \times \sqrt{5} - 5$