Multiply. Write your answer in simplest form. sqrt 2(-4 + sqrt 3) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-4 + sqrt(3)) = sqrt(2)*(-4) + sqrt(2)*(sqrt(3))Multiply by -4: Multiply sqrt(2) by -4. sqrt(2) * (-4) = -4 * sqrt(2)Multiply 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. -4 * sqrt(2) + sqrt(6)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(-4 + \sqrt{3})$

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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}(-4 + \sqrt{3})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\newline$ $\sqrt{2}(-4 + \sqrt{3})$ $\newline$ = $\sqrt{2}\cdot(-4) + \sqrt{2}\cdot(\sqrt{3})$
Multiply by $-4$ : Multiply $\sqrt{2}$ by $-4$ . $\sqrt{2} \times (-4) = -4 \times \sqrt{2}$
Multiply 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 $3$ . $\newline$ $-4 \times \sqrt{2} + \sqrt{6}$