Multiply. Write your answer in simplest form. sqrt 2(8 + sqrt 5) ______

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(8 + sqrt(5)) = sqrt(2)*8 + sqrt(2)*sqrt(5)Multiply sqrt(2) by 8: Multiply sqrt(2) by 8. sqrt(2) * 8 = 8sqrt(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. 8sqrt(2) + sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2}(8 + \sqrt{5})$

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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}(8 + \sqrt{5})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\newline$ $\sqrt{2}(8 + \sqrt{5}) = \sqrt{2}\times8 + \sqrt{2}\times\sqrt{5}$
Multiply $\sqrt{2}$ by $8$ : Multiply $\sqrt{2}$ by $8$ . $\newline$ $\sqrt{2} \times 8 = 8\sqrt{2}$
Multiply $\sqrt{2}$ by $\sqrt{5}$ : Multiply $\sqrt{2}$ by $\sqrt{5}$ . $\newline$ $\sqrt{2} \times \sqrt{5} = \sqrt{2 \times 5} = \sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $8\sqrt{2} + \sqrt{10}$