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

Distribute sqrt(3): Distribute sqrt(3) to both terms inside the parentheses. sqrt(3)(-2 + sqrt(5)) = sqrt(3)*(-2) + sqrt(3)*(sqrt(5))Multiply -2: Multiply sqrt(3) by -2. sqrt(3) * (-2) = -2 * sqrt(3)Multiply sqrt(3) by sqrt(5): Multiply sqrt(3) by sqrt(5). sqrt(3) * sqrt(5) Apply the product rule of radicals. = sqrt(3 * 5) = sqrt(15)Combine results: Combine the results from Step 2 and Step 3. -2 * sqrt(3) + sqrt(15)

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

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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{3}(-2 + \sqrt{5})

Distribute $\sqrt{3}$ : Distribute $\sqrt{3}$ to both terms inside the parentheses. $\sqrt{3}(-2 + \sqrt{5}) = \sqrt{3} \cdot (-2) + \sqrt{3} \cdot (\sqrt{5})$
Multiply $-2$ : Multiply $\sqrt{3}$ by $-2$ . $\newline$ $\sqrt{3} \times (-2)$ $\newline$ = $-2 \times \sqrt{3}$
Multiply $\sqrt{3}$ by $\sqrt{5}$ : Multiply $\sqrt{3}$ by $\sqrt{5}$ . $\newline$ $\sqrt{3} \times \sqrt{5}$ $\newline$ Apply the product rule of radicals. $\newline$ $= \sqrt{3 \times 5}$ $\newline$ $= \sqrt{15}$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-2 \times \sqrt{3} + \sqrt{15}$