Multiply. Write your answer in simplest form. -sqrt 5(6 + sqrt 2) ______

Distribute -sqrt(5): Distribute -sqrt(5) to both terms inside the parentheses. -sqrt(5)(6 + sqrt(2)) = -sqrt(5)*6 + -sqrt(5)*sqrt(2)Multiply -sqrt(5) by 6: Multiply -sqrt(5) by 6. -sqrt(5) * 6 = -6sqrt(5)Multiply -sqrt(5) by sqrt(2): Multiply -sqrt(5) by sqrt(2). -sqrt(5) * sqrt(2) = -sqrt(5 * 2) = -sqrt(10)Combine results: Combine the results from Step 2 and Step 3. -6sqrt(5) - sqrt(10) This is the simplest form since sqrt(5) and sqrt(10) cannot be simplified further and have no common factors.

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Multiply. Write your answer in simplest form. $\newline$ $-\sqrt{5}(6 + \sqrt{2})$

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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{5}(6 + \sqrt{2})

Distribute $-\sqrt{5}$ : Distribute $-\sqrt{5}$ to both terms inside the parentheses. $-\sqrt{5}(6 + \sqrt{2}) = -\sqrt{5}\cdot 6 + -\sqrt{5}\cdot \sqrt{2}$
Multiply $-\sqrt{5}$ by $6$ : Multiply $-\sqrt{5}$ by $6$ . $\newline$ $-\sqrt{5} \times 6$ $\newline$ $= -6\sqrt{5}$
Multiply $-\sqrt{5}$ by $\sqrt{2}$ : Multiply $-\sqrt{5}$ by $\sqrt{2}$ . $\newline$ $-\sqrt{5} \times \sqrt{2}$ $\newline$ = $-\sqrt{5 \times 2}$ $\newline$ = $-\sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-6\sqrt{5} - \sqrt{10}$ $\newline$ This is the simplest form since $\sqrt{5}$ and $\sqrt{10}$ cannot be simplified further and have no common factors.