Question

(ii). Ifa= root 2 +1/ root 2-1 , b= roit 2 -1/ rooy 2+1, prove that a^ + ab + b^ = 35.​

Answer 1

(root 3 + root 2)(root 3 - root 2)

(a+b)(a-b) = a square - b square

(root 3 + root 2)(root 3 - root 2) = {root 3} ^2 - {root 2 }^2

= 3- 2

(root 3 + root 2)(root 3 - root 2) = 1