(1 + √2)^2 = 1 + 2√2 + 2 = 3 + 2√2
(1 + √2)^4 = (3 + 2√2)^2 = 9 + 12√2+8 = 17 +12√2
(1 + √2)^5 = ( 17 +12√2 )( 1 + √2)= 17 + 17√2+12√2 + 24 = 41 + 29√2
(1 + √2)^6 = ( 41+29√2 )( 1 + √2)= 41 + 41√2+29√2 + 58 = 99 + 70√2