Question

Rationalize.3+2√3/1-√3

Answer 1

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$\frac{3 + 2 \sqrt{3} }{1 - \sqrt{3} } \\ \\ = \frac{(3 + 2 \sqrt{3}) \times (1 + \sqrt{3} ) }{(1 - \sqrt{3}) \times (1 + \sqrt{3} )} \\ \\ = \frac{3 + 3 \sqrt{3} + 6 }{ {1}^{2} - { (\sqrt{3}) }^{2} } \\ \\ = \frac{9 + 3 \sqrt{3} }{1 - 3} \\ \\ = \frac{3( \sqrt{3} + 3)}{ - 2} \\ \\ = - \frac{3( \sqrt{3} + 3) }{2}$

Hope its helpful ❤️