Simplify 3+2√3 / √3

June 3, 2026Mathematics

ScanSolve AI Answer

June 3, 2026

Answer

\frac{3}{\sqrt{3}} + \frac{2\sqrt{3}}{\sqrt{3}} $$

Here are the solutions to the problems:

Question 14: Simplify $\frac{3+2\sqrt{3}}{\sqrt{3}}$

Step 1: Separate the terms in the numerator and divide each by the denominator. $\frac{3+2\sqrt{3}}{\sqrt{3}} = \frac{3}{\sqrt{3}} + \frac{2\sqrt{3}}{\sqrt{3}}$

Step 2: Rationalize the first term and simplify the second term. $\frac{3}{\sqrt{3}} = \frac{3 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} = \frac{3\sqrt{3}}{3} = \sqrt{3}$

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Quick Answer

Question 14: Simplify 3+2sqrt(3)sqrt(3) Step 1: Separate the terms in the numerator and divide each by the denominator.

Asked on June 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 3, 2026

Here are the solutions to the problems: Question 14: Simplify 3+2sqrt(3)sqrt(3) Step 1: Separate the terms in the numerator and divide each by the denominator. 3+2sqrt(3)sqrt(3) = (3)/(sqrt(3)) + 2sqrt(3)sqrt(3) Step 2: Rationalize the first term and simplify the second term. (3)/(sqrt(3)) = 3 × sqrt(3)sqrt(3) × sqrt(3) = 3sqrt(3)3 = sqrt(3) ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._