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

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(-7 - sqrt(2)) = sqrt(2)*(-7) + sqrt(2)*(-sqrt(2))Multiply sqrt(2 by -7: Multiply sqrt(2) by -7. sqrt(2) * (-7) = -7 * sqrt(2)Multiply sqrt(2 by -sqrt(2): Multiply sqrt(2) by -sqrt(2). sqrt(2) * (-sqrt(2)) = -sqrt(2) * sqrt(2) = -sqrt(2 * 2) = -sqrt(4) = -2Combine results: Combine the results from Step 2 and Step 3. -7 * sqrt(2) - 2

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

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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{2}(-7 - \sqrt{2})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\newline$ $\sqrt{2}(-7 - \sqrt{2})$ $\newline$ = $\sqrt{2}\cdot(-7) + \sqrt{2}\cdot(-\sqrt{2})$
Multiply $\sqrt{2}$ by $-7$ : Multiply $\sqrt{2}$ by $-7$ . $\newline$ $\sqrt{2} \times (-7)$ $\newline$ $= -7 \times \sqrt{2}$
Multiply $\sqrt{2}$ by $-\sqrt{2}$ : Multiply $\sqrt{2}$ by $-\sqrt{2}$ .
$\sqrt{2} \times (-\sqrt{2})$
= $-\sqrt{2} \times \sqrt{2}$
= $-\sqrt{2 \times 2}$
= $-\sqrt{4}$
= $-2$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-7 \times \sqrt{2} - 2$