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

Distribute sqrt(3): Distribute sqrt(3) to both terms inside the parentheses. sqrt(3)(3 - sqrt(3)) = sqrt(3) * 3 - sqrt(3) * sqrt(3)Simplify terms separately: Simplify each term separately. First term: sqrt(3) * 3 = 3sqrt(3) Second term: sqrt(3) * sqrt(3) = 3 (since the square root of a number times itself equals the number)Combine simplified terms: Combine the simplified terms. 3sqrt(3) - 3 This is already in simplest form, as there are no like terms to combine and no further simplification possible.

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

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

Distribute $\sqrt{3}$ : Distribute $\sqrt{3}$ to both terms inside the parentheses. $\sqrt{3}(3 - \sqrt{3})$ = $\sqrt{3} \times 3$ - $\sqrt{3} \times \sqrt{3}$
Simplify terms separately: Simplify each term separately. $\newline$ First term: $\sqrt{3} \times 3 = 3\sqrt{3}$ $\newline$ Second term: $\sqrt{3} \times \sqrt{3} = 3$ (since the square root of a number times itself equals the number)
Combine simplified terms: Combine the simplified terms. $3\sqrt{3} - 3$ This is already in simplest form, as there are no like terms to combine and no further simplification possible.