Math, asked by soumya102, 1 year ago

2+root 5/2-root5 + 2-root5 /2 +root 5 simplify

Answers

Answered by Swarup1998
84
➡HERE IS YOUR ANSWER⬇

 \frac{2 +  \sqrt{5} }{2 -  \sqrt{5} }  +  \frac{2 -  \sqrt{5} }{2 +  \sqrt{5} }  \\  \\  =  \frac{(2 +  \sqrt{5})(2 +  \sqrt{5}  ) + (2 - \sqrt{5})(2  -  \sqrt{5} ) }{(2 -  \sqrt{5} )(2 +  \sqrt{5} )}  \\  \\  =  \frac{4 + 4 \sqrt{5}  + 5 +4 - 4 \sqrt{5}   + 5}{4 - 5}  \\  \\  =  \frac{18}{ - 1}  \\  \\  =  - 18

⬆HOPE THIS HELPS YOU⬅

soumya102: thanks bhai
DaIncredible: hey first you have to rationalize both i think
Swarup1998: Welcome bhai
Swarup1998: the same result...
DaIncredible: ohhk
Answered by dheerajsingh54
2

Answer:

the answer is -18

for steps refer to the given image

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