Question

If x=3+2root2,find the value of xsquare+1/xsquare​

Answer 1

34.

Explanation:

x = 3 + 2√2

x^2 = (3+2√)^2

= 9 + 8 + 12√2

= 17 + 12√2

x^2 + 1 /x^2

= (17 + 12√2)^2 + (1 / (17 + 12√2)

= 34.