Question

if x =1+√2 then find the value of (x-1/x)²

Answer 1

Que.1.6/(3√2-2√3)

Rationalising the denominator we have,


6 (3√2+2√3)
----------------×----------------
(3√2-2√3) (3√2-2√3)

18√2+12√2
------------------
(3√2)²-(2√3)²

(18+12)√2
--------------
18-12

30√2
---------
6

=5√2 Ans.