Multiply. Write your answer in simplest form. sqrt 5(-7 + sqrt 3) ______

Distribute sqrt(5): Distribute sqrt(5) to both terms inside the parentheses. sqrt(5)(-7 + sqrt(3)) = sqrt(5)*(-7) + sqrt(5)*(sqrt(3))Multiply by -7: Multiply sqrt(5) by -7. sqrt(5) * (-7) = -7 * sqrt(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. -7 * sqrt(5) + sqrt(15) This is the simplest form since sqrt(5) and sqrt(15) cannot be simplified further.

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Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(-7 + \sqrt{3})$

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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}(-7 + \sqrt{3})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ to both terms inside the parentheses. $\sqrt{5}(-7 + \sqrt{3}) = \sqrt{5} \cdot (-7) + \sqrt{5} \cdot (\sqrt{3})$
Multiply by $-7$ : Multiply $\sqrt{5}$ by $-7$ . $\sqrt{5} \times (-7) = -7 \times \sqrt{5}$
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 $3$ . $\newline$ $-7 \times \sqrt{5} + \sqrt{15}$ $\newline$ This is the simplest form since $\sqrt{5}$ and $\sqrt{15}$ cannot be simplified further.