Multiply. Write your answer in simplest form. -sqrt 2(5 - sqrt 2) ______

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

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(5 - \sqrt{2})$

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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{2}(5 - \sqrt{2})

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