Question

If x is equal to 3 + 2 root 2 find out whether x minus one upon X is rational or irrational

Answer 1

Answer:

x=3+2√2

1/x=1/3+2√2 rationalising it we get

3-2√2

x-1/x=3+2√2-(3-2√2)

=3+2√2-3+2√2

=4√2

therefore it is irrational