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

Distribute sqrt(2): Distribute sqrt(2) to both terms inside the parentheses. sqrt(2)(2 - sqrt(5)) = sqrt(2)*2 - sqrt(2)*sqrt(5)Multiply sqrt(2) by 2: Multiply sqrt(2) by 2. sqrt(2) * 2 = 2sqrt(2)Multiply sqrt(2) by -sqrt(5): Multiply sqrt(2) by -sqrt(5). sqrt(2) * (-sqrt(5)) = -sqrt(2 * 5) = -sqrt(10)Combine the results: Combine the results from the previous steps. 2sqrt(2) - sqrt(10)

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

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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}(2 - \sqrt{5})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ to both terms inside the parentheses. $\newline$ $\sqrt{2}(2 - \sqrt{5}) = \sqrt{2}\times2 - \sqrt{2}\times\sqrt{5}$
Multiply $\sqrt{2}$ by $2$ : Multiply $\sqrt{2}$ by $2$ . $\newline$ $\sqrt{2} \times 2 = 2\sqrt{2}$
Multiply $\sqrt{2}$ by $-\sqrt{5}$ : Multiply $\sqrt{2}$ by $-\sqrt{5}$ . $\sqrt{2} \times (-\sqrt{5}) = -\sqrt{2 \times 5} = -\sqrt{10}$
Combine the results: Combine the results from the previous steps. $2\sqrt{2} - \sqrt{10}$