Math, asked by kushalchoudhary2004, 1 year ago

Give me answer quick​

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Answered by Rutu1131
2

 \frac{ \sqrt{2 }  - 1}{ \sqrt{2} + 1 }

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

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

 =  \frac{2 - 2 \sqrt{2} + 1 }{2 - 1}

here I use identity (a-b)^2=a^2-2ab+b^2 in upper part

  = \frac{3 - 2 \sqrt{2} }{1}

 = 3 - 2 \sqrt{2}

#### I hope so you like my answer ####


kushalchoudhary2004: thanks
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