Multiply. Write your answer in simplest form. -sqrt 5(10 + sqrt 5) ______

Distribute and Multiply: Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(10 + sqrt(5)) = -sqrt(5) * 10 + -sqrt(5) * sqrt(5)Multiply by 10: Multiply -sqrt(5) by 10. -sqrt(5) * 10 = -10sqrt(5)Multiply 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. -10sqrt(5) - 5 This is the simplified form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(10 + \sqrt{5})$

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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}(10 + \sqrt{5})

Distribute and Multiply: Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(10 + \sqrt{5}) = -\sqrt{5} \times 10 + -\sqrt{5} \times \sqrt{5}$
Multiply by $10$ : Multiply $-\sqrt{5}$ by $10$ . $-\sqrt{5} \times 10 = -10\sqrt{5}$
Multiply 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 $3$ . $\newline$ $-10\sqrt{5} - 5$ $\newline$ This is the simplified form of the expression.