Multiply. Write your answer in simplest form. sqrt 2(-8 + sqrt 3) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-8 + sqrt(3)) = sqrt(2)*(-8) + sqrt(2)*(sqrt(3))Multiply sqrt(2 by -8: Multiply sqrt(2) by -8. sqrt(2) * (-8) = -8 * 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. -8 * sqrt(2) + sqrt(6)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(-8 + \sqrt{3})$

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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}(-8 + \sqrt{3})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\newline$ $\sqrt{2}(-8 + \sqrt{3})$ $\newline$ = $\sqrt{2}\cdot(-8) + \sqrt{2}\cdot(\sqrt{3})$
Multiply $\sqrt{2}$ by $-8$ : Multiply $\sqrt{2}$ by $-8$ . $\newline$ $\sqrt{2} \times (-8)$ $\newline$ = $-8 \times \sqrt{2}$
Multiply $\sqrt{2}$ by $\sqrt{3}$ : Multiply $\sqrt{2}$ by $\sqrt{3}$ . $\sqrt{2} \times \sqrt{3}$ $= \sqrt{2 \times 3}$ $= \sqrt{6}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-8 \times \sqrt{2} + \sqrt{6}$