Question

simplify
$\frac{4 + \sqrt{5} }{4 - \sqrt{5} }$
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Answer 1

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Answer 2

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

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

Q:-simplify

$\frac{4 + \sqrt{5} }{4 - \sqrt{5} }$

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

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

$⇛ \frac{4 + \sqrt{5} }{4 - \sqrt{5} } \times \frac{4 + \sqrt{5} }{4 - \sqrt{5} }$

$⇛ \frac{( {4 + \sqrt{5} )}^{2} }{( {4})^{2} - { (\sqrt{5} )}^{2} }$

$⇛ \frac{16 + 25 + 2(4)( \sqrt{5} )}{16 - 5} = \frac{41 + 8 \sqrt{5} }{11}$

HOPE IT HELPS YOU..

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