Question

If X=2-root 3 then find the value of X+1 by X

Answer 1

X=2- root 3. 1/x = 1/2- root 3 × 2+√3 / 2+√3 (do rationalisation ). 1/x = 2+√3 / 2^2 - (√3)^2. 1/x = 2 + √3 / 4-3. 1/x = 2+√3. x+1/x = 2-√3+2+√3. x+1/x= 2+2= 4