if x =3+root8, find the value of : (i) 1/x (ii) x+1/x (iii) x^2+1/x^2
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x = 3 + √8
1/x = 1/(3 + √8) = (3-√8)/9-8 = 3 - √8
x + 1/x = 3 + √8 + 3 - √8 = 6
x² + 1/x² = (3 + √8)² + (3 - √8)² = 17 + 6√8 + 17 - 6√8 = 34
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