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) = -(sqrt(5))^2 Since the square root and the square cancel each other out, we have: -(sqrt(5))^2 = -5Combine Results: Combine the results from Step 2 and Step 3. 10sqrt(5) - 5 This is the simplest 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 $\sqrt{5}$ .
$(-\sqrt{5}) \times \sqrt{5} = -(\sqrt{5})^2$
Since the square root and the square cancel each other out, we have:
$-(\sqrt{5})^2 = -5$
Combine Results: Combine the results from Step $2$ and Step $3$ . $10\sqrt{5} - 5$ This is the simplest form of the expression.