Question

Rationalise :
$\frac{1}{2 + \sqrt{3} }$
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Answer 1

Answer:

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$\mathtt{RATIONALISING \: DENOMINATOR}$

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$\mathfrak{ = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } }$

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

$\mathfrak{ = \frac{2 - \sqrt{3} }{4 - 3} }$

$\mathfrak{ = \frac{2 - \sqrt{3} }{1} }$

$\mathfrak{ = 2 - \sqrt{3} }$