Question

if x = 2 + root 3, then find the value of x² + 1/ x²​

Answer 1

Answer:

x² + 1/ x²

= (2 + root 3) ^2 + 1/(2 + root 3) ^2

= 4 + 3 + 4 root3 + 1/(4+3+4root3)

= 7 + 4 root3 + 1/(7+ 4root3)

= (49 + 48 + 56root3 +1)/ (7+ 4root3)

= (98 + 56root3)/ (7+ 4root3)