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Simplify 3+2√3 / √3

June 3, 2026Mathematics

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

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