Question

If x= 1+?2, what is (x-1/x)?

Answer 1

x=1+√2
1/x=1/(1+√2)
     =(1-√2)/[(1+√2)(1-√2)]
     =(1-√2)/-1
     =√2-1

(x-1/x)=(1+√2)-(√2-1)
          =1+√2-√2+1
          =2

Answer 2

1+√​2​​​ −​1−√2/​​​​1−√​2​​​​​²
⇒1+√​2​​​−​1−√​2​​​​​​​​/1−2​​​​​
⇒1 + √2 - 1 - √2/-1
⇒1 + √2 + 1 - √2
⇒1 + 1 
⇒2