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

Distribute -sqrt(2): Distribute -sqrt(2) to both terms inside the parentheses. -sqrt(2)(7 + sqrt(3)) = -sqrt(2)*7 + -sqrt(2)*sqrt(3)Multiply -sqrt(2) by 7: Multiply -sqrt(2) by 7. -sqrt(2)*7 = -7*sqrt(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. -7*sqrt(2) - sqrt(6)

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

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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}(7 + \sqrt{3})

Distribute $-\sqrt{2}$ : Distribute $-\sqrt{2}$ to both terms inside the parentheses. $-\sqrt{2}(7 + \sqrt{3}) = -\sqrt{2}\cdot 7 + -\sqrt{2}\cdot \sqrt{3}$
Multiply $-\sqrt{2}$ by $7$ : Multiply $-\sqrt{2}$ by $7$ . $\newline$ $-\sqrt{2}\times 7$ $\newline$ = $-7\times\sqrt{2}$
Multiply $-\sqrt{2}$ by $\sqrt{3}$ : Multiply $-\sqrt{2}$ by $\sqrt{3}$ . $\newline$ $-\sqrt{2}\times\sqrt{3}$ $\newline$ = $-\sqrt{2\times3}$ $\newline$ = $-\sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-7\sqrt{2} - \sqrt{6}$