Question

if x = 3 - √8 evaluate
(i) x+ 1/x
(ii) x² + 1/x²


please solve it

Answer 1

x = 3 - √8
x² = 9 + 8 - 6 √8


1/x = 1 /(3 - √8)      multiply numerator and denominator with 3 + √8
      =  (3 +√8) /(9 -8) = 3 + √8

1/x² = 9+8+ 6√8  

answers

1)  6

2) 34