Question

if x is equal to root 5 + 2 root 3 find the value of x square + 1 upon x square

Answer 1

Answer:

x = √5 + 2√3

1/x = (√5 - 2√3)/( 5 - 12)

= (2√3 -√5)/7

x^2 + 1/x^2 = ( x+1/x)^2 - 2

= (√5 +2√3 + (2√3 -√5)/7)^2 -2

= (7√5 + 14√3 + 2√3 -√5)^2/49 -2

= (6√5 + 16√3)^2/49 -2