Question

Rationalise 2+root3/2-root3​

Answer 1

Answer:

ans= 7+4root3

Step-by-step explanation:

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Answer 2

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

$\sf = \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$\sf = \frac{ {(2 + \sqrt{3} )}^{2} }{ {(2)}^{2} - {( \sqrt{3}) }^{2} }$

$\sf = \frac{4+ 3 + 2 \sqrt{6} }{4 - 3}$

$\sf = 5 + 2 \sqrt{6}$

This is the required answer.