Multiply. Write your answer in simplest form. sqrt 5(-9 + sqrt 3) ______

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(-9 + sqrt(3)) = sqrt(5) * (-9) + sqrt(5) * sqrt(3)Multiply by -9: Now, multiply sqrt(5) by -9: sqrt(5) * (-9) = -9 * sqrt(5)Multiply by sqrt(3): Next, multiply sqrt(5) by sqrt(3): sqrt(5) * sqrt(3) = sqrt(5 * 3) = sqrt(15)Combine products: Combine the two products: -9 * sqrt(5) + sqrt(15)Final form: This expression is already in its simplest form, as there are no like terms to combine and the square roots cannot be simplified further.

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(-9 + \sqrt{3})$

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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}(-9 + \sqrt{3})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\newline$ $\sqrt{5}(-9 + \sqrt{3}) = \sqrt{5} \times (-9) + \sqrt{5} \times \sqrt{3}$
Multiply by $-9$ : Now, multiply $\sqrt{5}$ by $-9$ : $\newline$ $\sqrt{5} \times (-9) = -9 \times \sqrt{5}$
Multiply by $\sqrt{3}$ : Next, multiply $\sqrt{5}$ by $\sqrt{3}$ : $\sqrt{5} \times \sqrt{3} = \sqrt{5 \times 3} = \sqrt{15}$
Combine products: Combine the two products: $\newline$ $-9 \times \sqrt{5} + \sqrt{15}$
Final form: This expression is already in its simplest form, as there are no like terms to combine and the square roots cannot be simplified further.