Multiply. Write your answer in simplest form. sqrt 2(-4 - sqrt 5) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-4 - sqrt(5)) = sqrt(2) * (-4) + sqrt(2) * (-sqrt(5))Multiply sqrt(2) by -4: Multiply sqrt(2) by -4. sqrt(2) * (-4) = -4 * sqrt(2)Multiply sqrt(2) by -sqrt(5): Multiply sqrt(2) by -sqrt(5). sqrt(2) * (-sqrt(5)) = -sqrt(2 * 5) = -sqrt(10)Combine results: Combine the results from Step 2 and Step 3. -4 * sqrt(2) - sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(-4 - \sqrt{5})$

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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{5})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\sqrt{2}(-4 - \sqrt{5}) = \sqrt{2} \times (-4) + \sqrt{2} \times (-\sqrt{5})$
Multiply $\sqrt{2}$ by $-4$ : Multiply $\sqrt{2}$ by $-4$ . $\newline$ $\sqrt{2} \times (-4) = -4 \times \sqrt{2}$
Multiply $\sqrt{2}$ by $-\sqrt{5}$ : Multiply $\sqrt{2}$ by $-\sqrt{5}$ . $\sqrt{2} \times (-\sqrt{5}) = -\sqrt{2 \times 5} = -\sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-4 \times \sqrt{2} - \sqrt{10}$