Question

if x=3+2√2 find out whether x-1/x is rational or irrational

Answer 1

3+2√2 - 1/( 3+2√2 )
= (17 + 12√2 - 1) /  (3+2√2 )
= 16+12√2 / (3+2√2 )
= (16+18√2) ÷ 3 ............... Ans
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