Multiply. Write your answer in simplest form. sqrt 2(-9 + sqrt 2) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-9 + sqrt(2)) = sqrt(2) * (-9) + sqrt(2) * sqrt(2)Multiply by -9: Multiply the square root of 2 by -9. sqrt(2) * (-9) = -9 * sqrt(2)Square root of 2: Multiply the square root of 2 by itself. sqrt(2) * sqrt(2) = 2 This is because the square root of a number multiplied by itself gives the original number.Combine results: Combine the results from Step 2 and Step 3. -9 * sqrt(2) + 2 This is the simplest form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(-9 + \sqrt{2})$

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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}(-9 + \sqrt{2})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\sqrt{2}(-9 + \sqrt{2})$ = $\sqrt{2} \times (-9) + \sqrt{2} \times \sqrt{2}$
Multiply by $-9$ : Multiply the square root of $2$ by $-9$ . $\sqrt{2} \times (-9) = -9 \times \sqrt{2}$
Square root of $2$ : Multiply the square root of $2$ by itself. $\newline$ $\sqrt{2} \times \sqrt{2} = 2$ $\newline$ This is because the square root of a number multiplied by itself gives the original number.
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-9 \times \sqrt{2} + 2$ $\newline$ This is the simplest form of the expression.