if x=3+2√2,then check whether x+1/x is rational or irrational...
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Hey ya!
Given x = 3+2√2
x +1/x
= 3+2√2 + 1 / 3+2√2
= 3+2√2 + 3-2√2 / 3+2√2
=(3-2√2)
=3+3√2+3-2√2/3²-(2√2)²
=3+3√2+3-2√2/9-8
=3+3√2+3-2√2
=6 which can be written in p/Q form(6/1)
=therefore it's a rational number
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