Question

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

Answer 1

answer is 7+4√3.

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Answer 2

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-Rationalise

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

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

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

⟹ $\frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

⟹ $\frac{( {2 + \sqrt{3}) }^{2} }{( {2})^{2} - </p><p>{( \sqrt{3}) }^{2} }$

⟹ $\frac{( {2})^{2} + { (\sqrt{3} )}^{2} + 2(2)( \sqrt{3}) }{4 - 3}$

⟹ $4 + 3 + 4 \sqrt{3} = 7 + 4 \sqrt{3}$

HOPE IT HELPS YOU..

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