Question

rationalise
$\frac{ 2 + \sqrt{3} }{2 - \sqrt{3} }$
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Answer 1

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Q:-rationalise

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

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

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

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

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

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

$⇨ \frac{4 + 3 + 4 \sqrt{3} }{1}$

$⇨7 + 4 \sqrt{3} ✓$

HOPE IT HELPS YOU..

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