Let the square of the process (the square root of 2 + 2) = a + B times the square root of 2, a + B= a. B is a rational number

Let the square of the process (the square root of 2 + 2) = a + B times the square root of 2, a + B= a. B is a rational number

(2+√2)²=6+4√2=a+b√2
(a-6)+(b-4)√2=0
a. B is a rational number
a=6 b=4
a+b=6+4=10