Multiply. Write your answer in simplest form. sqrt 5(2 - sqrt 3) ______

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(2 - sqrt(3)) = sqrt(5)*2 - sqrt(5)*sqrt(3)Multiply by 2: Multiply sqrt(5) by 2. sqrt(5) * 2 = 2sqrt(5)Multiply by -sqrt(3): Multiply sqrt(5) by -sqrt(3). sqrt(5) * (-sqrt(3)) = -sqrt(5 * 3) = -sqrt(15)Combine results: Combine the results from Step 2 and Step 3. 2sqrt(5) - sqrt(15) This is the simplest form, as there are no like terms to combine and the radicals cannot be simplified further.

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(2 - \sqrt{3})$

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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}(2 - \sqrt{3})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\sqrt{5}(2 - \sqrt{3}) = \sqrt{5}\cdot 2 - \sqrt{5}\cdot \sqrt{3}$
Multiply by $2$ : Multiply $\sqrt{5}$ by $2$ . $\sqrt{5} \times 2 = 2\sqrt{5}$
Multiply by $-\sqrt{3}$ : Multiply $\sqrt{5}$ by $-\sqrt{3}$ . $\sqrt{5} \times (-\sqrt{3}) = -\sqrt{5 \times 3} = -\sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $2\sqrt{5} - \sqrt{15}$ $\newline$ This is the simplest form, as there are no like terms to combine and the radicals cannot be simplified further.