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

Distribute sqrt(3): We need to distribute sqrt(3) across the terms inside the parentheses. sqrt(3)(5 - sqrt(3)) = sqrt(3) × 5 - sqrt(3) × sqrt(3) Multiply by 5: Now we multiply sqrt(3) by 5. sqrt(3) × 5 = 5sqrt(3)Multiply by sqrt(3): Next, we multiply sqrt(3) by sqrt(3). sqrt(3) × sqrt(3) = 3 This is because the square root of a number multiplied by itself gives the original number.Combine results: Now we combine the two results from the previous steps. 5sqrt(3) - 3 This is the simplest form of the expression, as there are no like terms to combine and no further simplification possible.

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

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

Distribute $\sqrt{3}$ : We need to distribute $\sqrt{3}$ across the terms inside the parentheses. $\sqrt{3}(5 - \sqrt{3}) = \sqrt{3} \times 5 - \sqrt{3} \times \sqrt{3}$
Multiply by $5$ : Now we multiply $\sqrt{3}$ by $5$ . $\sqrt{3} \times 5 = 5\sqrt{3}$
Multiply by $\sqrt{3}$ : Next, we multiply $\sqrt{3}$ by $\sqrt{3}$ . $\sqrt{3} \times \sqrt{3} = 3$ This is because the square root of a number multiplied by itself gives the original number.
Combine results: Now we combine the two results from the previous steps. $\newline$ $5\sqrt{3} - 3$ $\newline$ This is the simplest form of the expression, as there are no like terms to combine and no further simplification possible.