Multiply. Write your answer in simplest form. -sqrt 3(10 - sqrt 2) ______

Distribute -sqrt(3): Distribute -sqrt(3) to both terms inside the parentheses. -sqrt(3)(10 - sqrt(2)) = -sqrt(3)*10 - sqrt(3)*(-sqrt(2))Multiply -sqrt(3) by 10: Multiply -sqrt(3) by 10. -sqrt(3) × 10 = -10sqrt(3)Multiply -sqrt(3) by -sqrt(2): Multiply -sqrt(3) by -sqrt(2). -sqrt(3) × (-sqrt(2)) = sqrt(3) × sqrt(2) = sqrt(3 * 2) = sqrt(6)Combine results: Combine the results from Step 2 and Step 3. -10sqrt(3) + sqrt(6)

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{3}(10 - \sqrt{2})$

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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}(10 - \sqrt{2})

Distribute $-\sqrt{3}$ : Distribute $-\sqrt{3}$ to both terms inside the parentheses.-\sqrt{$3$}(\(10 - \sqrt{ $2$ }) = -\sqrt{ $3$ }\times $10$ - \sqrt{ $3$ }\times(-\sqrt{ $2$ })
Multiply $-\sqrt{3}$ by $10$ : Multiply $-\sqrt{3}$ by $10$ . $\newline$ $-\sqrt{3} \times 10$ $\newline$ $= -10\sqrt{3}$
Multiply $-\sqrt{3}$ by $-\sqrt{2}$ : Multiply $-\sqrt{3}$ by $-\sqrt{2}$ .
$-\sqrt{3} \times (-\sqrt{2})$
= $\sqrt{3} \times \sqrt{2}$
= $\sqrt{3 \times 2}$
= $\sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-10\sqrt{3} + \sqrt{6}$