Multiply. Write your answer in simplest form. -sqrt 3(-7 + sqrt 2) ______

Distribute and Multiply: Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(-7 + sqrt(2)) = -sqrt(3)*(-7) + -sqrt(3)*sqrt(2)Multiply by -7: Multiply -sqrt(3) by -7. -sqrt(3) * (-7) = 7sqrt(3)Multiply by sqrt(2): Multiply -sqrt(3) by sqrt(2). -sqrt(3) * sqrt(2) = -sqrt(3 * 2) = -sqrt(6)Combine Results: Combine the results from Step 2 and Step 3. 7sqrt(3) - sqrt(6)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(-7 + \sqrt{2})$

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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{3}(-7 + \sqrt{2})

Distribute and Multiply: Distribute $-\sqrt{3}$ to both terms inside the parentheses. $-\sqrt{3}(-7 + \sqrt{2}) = -\sqrt{3}(-7) + -\sqrt{3}\sqrt{2}$
Multiply by $-7$ : Multiply $-\sqrt{3}$ by $-7$ . $\newline$ $-\sqrt{3} \times (-7) = 7\sqrt{3}$
Multiply by $\sqrt{2}$ : Multiply $-\sqrt{3}$ by $\sqrt{2}$ . $\newline$ $-\sqrt{3} \times \sqrt{2} = -\sqrt{3 \times 2} = -\sqrt{6}$
Combine Results: Combine the results from Step $2$ and Step $3$ . $7\sqrt{3} - \sqrt{6}$