Question

If x=root 3-2 root 2, then find (x-1/x)the whole square

Answer 1

Answer:

x=√3-2√2

x²=3+8-4√6

x²=11-4√6

1/x²=1/(11-4√6) =(11+4√6) /(11+4√6) (11-4√6)

1/x²=(11+4√6) /(121-96) =11/25 +4√6/25

___________

(x-1/x) ²=x²+1/x²-2

=11-4√6+11/25 +4√6/25-2