Multiply. Write your answer in simplest form. sqrt 5(7 - sqrt 2) ______

Distribute sqrt(5): Distribute sqrt(5) across the terms inside the parentheses. sqrt(5)(7 - sqrt(2)) = sqrt(5) * 7 - sqrt(5) * sqrt(2)Multiply by 7: Multiply sqrt(5) by 7. sqrt(5) * 7 = 7sqrt(5)Multiply by sqrt(2): Multiply sqrt(5) by sqrt(2). sqrt(5) * sqrt(2) = sqrt(5 * 2) = sqrt(10)Combine products: Combine the two products from the previous steps. 7sqrt(5) - sqrt(10)Check for simplification: Check if the expression can be simplified further. Since there are no like radical terms, the expression is already in simplest form. 7sqrt(5) - sqrt(10)

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(7 - \sqrt{2})$

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Algebra 1

Simplify radical expressions using the distributive property

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Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{5}(7 - \sqrt{2})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ across the terms inside the parentheses. $\sqrt{5}(7 - \sqrt{2}) = \sqrt{5} \times 7 - \sqrt{5} \times \sqrt{2}$
Multiply by $7$ : Multiply $\sqrt{5}$ by $7$ . $\sqrt{5} \times 7 = 7\sqrt{5}$
Multiply by $\sqrt{2}$ : Multiply $\sqrt{5}$ by $\sqrt{2}$ . $\sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10}$
Combine products: Combine the two products from the previous steps. $7\sqrt{5} - \sqrt{10}$
Check for simplification: Check if the expression can be simplified further. $\newline$ Since there are no like radical terms, the expression is already in simplest form. $\newline$ $7\sqrt{5} - \sqrt{10}$