Math, asked by meghnabhargava23, 7 months ago

if you know how to do it then please tell !​

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Answers

Answered by gautamlovesphysics
0

Answer:

This is the answer hope its correct

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Answered by Mihir1001
5

Answer:

  •  \dfrac{42}{11}

Step-by-step explanation:

We have,

 \begin{aligned} \\ & \quad \left( \frac{4 +  \sqrt{5} }{4 -  \sqrt{5} }  \right) +  \left(  \frac{4 -  \sqrt{5} }{4 +  \sqrt{5} } \right)  \\  \\ &  =  \frac{ {(4 +  \sqrt{5} )}^{2}  +  {(4 -  \sqrt{5} )}^{2} }{(4 -  \sqrt{5})(4 +  \sqrt{5} ) }  \\  \\  & =  \frac{ {(4 +  \sqrt{5}) }^{2}  +  {(4 -  \sqrt{5} )}^{2} }{ {(4)}^{2} -  {( \sqrt{5} )}^{2}  }  \\  \\  & =  \frac{16 + 5 +  \cancel{8 \sqrt{5}}  + 16 + 5 - \cancel{ 8 \sqrt{5}} }{16 - 5}  \\  \\ & =  \bf \frac{42}{11}  \end{aligned}

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