Math, asked by ajaysingh22072002, 7 months ago

√5+1/√5-1 -√5-1/√5+1 then the values is ?​

Answers

Answered by kalavatigchinchali
1

Answer:

answer for your question

Attachments:
Answered by poojacool4455
1

Step-by-step explanation:

 \frac{ \sqrt{5}  + 1}{ \sqrt{5} - 1 }  -  \frac{ \sqrt{5} - 1 }{ \sqrt{5} + 1 }   \\ \\ taking \:  \:  \:  \:  \: lcm \\  \\  \frac{( \sqrt{5}   + 1)( \sqrt{5}   +   1) - ( \sqrt{5}    - 1)( \sqrt{5} - 1) }{( \sqrt{5} - 1)( \sqrt{5} + 1)  }  \\  \\  \frac{( \sqrt{5}  + 1) {}^{2}  - ( \sqrt{5}  - 1) {}^{2} }{( \sqrt{5}) {}^{2} - (1) {}^{2}   }  \\  \\  \frac{(5 + 1 + 2 \sqrt{5  } ) - (5 + 1 - 2 \sqrt{5}) }{5 - 1}  \\  \\  \frac{6 + 2 \sqrt{5} - 6 + 2 \sqrt{5}  }{4}  \\  \\  \frac{  2\sqrt{5} + 2 \sqrt{5}  }{4}  \\  \\  \frac{4 \sqrt{5} }{4}  \\  \\  \sqrt{5}  \:  \:  \:  \:  \:  \: ans

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