Math, asked by ranjanasm167295, 1 month ago

value of (x-1/x) , if x = 1 +√2​

Answers

Answered by theroadnottaken25
0

Answer:

1

Step-by-step explanation:

when x =1+√2

then .x-1/x =

=> (1+√2-1)/1+√2

=> √2/1+√2

=> 1.

Answered by brainlyhero98
0

2-\sqrt{2}\: \:is\: the\: answer.

Step-by-step explanation:

 Given:( \frac{x - 1}{x} )

If \: x = 1 +  \sqrt{2} ,

Then,( \frac{1 +  \sqrt{2} - 1 }{1 +  \sqrt{2} } ) =( \frac{ \sqrt{2} }{1 +  \sqrt{2} } ) \\  = (  \frac{ \sqrt{2}(1 -  \sqrt{2})  }{(1 +  \sqrt{2} )(1 -  \sqrt{2}) } ) \\  =   \frac{ \sqrt{2}  -  2}{1 -  ({\sqrt{2})}^{2}  }  \\  =   \frac{ \sqrt{2}  - 2}{1 - 2}  \\  =   - ( \sqrt{2}  - 2) \\  = 2 -  \sqrt{2}

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