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

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(5 - sqrt(2)) = sqrt(5)*5 - sqrt(5)*sqrt(2)Multiply sqrt(5) by 5: Multiply sqrt(5) by 5. sqrt(5) * 5 = 5sqrt(5)Multiply sqrt(5) by -sqrt(2): Multiply sqrt(5) by -sqrt(2). sqrt(5) * (-sqrt(2)) = -sqrt(5 * 2)Simplify square roots: Simplify the product of the square roots. -sqrt(5 * 2) = -sqrt(10)Combine results: Combine the results from Step 2 and Step 4. 5sqrt(5) - sqrt(10)

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

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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}(5 - \sqrt{2})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\sqrt{5}(5 - \sqrt{2}) = \sqrt{5}\times5 - \sqrt{5}\times\sqrt{2}$
Multiply $\sqrt{5}$ by $5$ : Multiply $\sqrt{5}$ by $5$ . $\newline$ $\sqrt{5} \times 5 = 5\sqrt{5}$
Multiply $\sqrt{5}$ by $-\sqrt{2}$ : Multiply $\sqrt{5}$ by $-\sqrt{2}$ . $\newline$ $\sqrt{5} \times (-\sqrt{2}) = -\sqrt{5 \times 2}$
Simplify square roots: Simplify the product of the square roots. $\newline$ $-\sqrt{5 \times 2} = -\sqrt{10}$
Combine results: Combine the results from Step $2$ and Step $4$ . $5\sqrt{5} - \sqrt{10}$