If x = √3 - √2 , find the value of : (i) x+1/x (ii) x^2 + 1/x^2 (iii) x^3 + 1/x^3 (iv) x^3 + 1/x^3 - 3(x^2+1/x^2) + x+1/x

(i) Given, x = Rationalizing, Hence, . (ii) Solving, Hence, . (iii) Solving, Hence, . (iv) Substituting values from part (i), (ii) and (iii), we get : Hence, .