Multiply. Write your answer in simplest form. -sqrt 2(-3 + sqrt 3) ______

Distribute -sqrt(2): Distribute -sqrt(2) to both terms inside the parentheses. -sqrt(2)(-3 + sqrt(3)) = -sqrt(2)*(-3) + -sqrt(2)*sqrt(3)Multiply -sqrt(2) by -3: Multiply -sqrt(2) by -3. -sqrt(2) * (-3) = 3sqrt(2)Multiply -sqrt(2) by sqrt(3): Multiply -sqrt(2) by sqrt(3). -sqrt(2) * sqrt(3) = -sqrt(2 * 3) = -sqrt(6)Combine results: Combine the results from Step 2 and Step 3. 3sqrt(2) - sqrt(6) This is the simplest form of the expression.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{2}(-3 + \sqrt{3})$

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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}(-3 + \sqrt{3})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses. $-\sqrt{2}(-3 + \sqrt{3}) = -\sqrt{2}(-3) + -\sqrt{2}\sqrt{3}$
Multiply $-\sqrt{2}$ by $-3$ : Multiply $-\sqrt{2}$ by $-3$ . $-\sqrt{2} \times (-3) = 3\sqrt{2}$
Multiply $-\sqrt{2}$ by $\sqrt{3}$ : Multiply $-\sqrt{2}$ by $\sqrt{3}$ . $\newline$ $-\sqrt{2} \times \sqrt{3}$ $\newline$ = $-\sqrt{2 \times 3}$ $\newline$ = $-\sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $3\sqrt{2} - \sqrt{6}$ $\newline$ This is the simplest form of the expression.