Multiply. Write your answer in simplest form. -sqrt 5(-7 + sqrt 5) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(-7 + sqrt(5)) = -sqrt(5) * (-7) + (-sqrt(5)) * sqrt(5)Multiply -sqrt(5) by -7: Multiply -sqrt(5) by -7. -sqrt(5) * (-7) = 7sqrt(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, we have: -(sqrt(5))^2 = -5Combine results: Combine the results from Step 2 and Step 3. 7sqrt(5) - 5 This is the simplest form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(-7 + \sqrt{5})$

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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}(-7 + \sqrt{5})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(-7 + \sqrt{5}) = -\sqrt{5} \times (-7) + (-\sqrt{5}) \times \sqrt{5}$
Multiply $-\sqrt{5}$ by $-7$ : Multiply $-\sqrt{5}$ by $-7$ . $-\sqrt{5} \times (-7) = 7\sqrt{5}$
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, we have:
$-(\sqrt{5})^2 = -5$
Combine results: Combine the results from Step $2$ and Step $3$ . $7\sqrt{5} - 5$ This is the simplest form of the expression.