Answer: 161+72(5)^1/2 + 1/(161+72(5)^1/2)
Step-by-step explanation:
a=9+4(5)^1/2
a^2=
(9+4(5)^1/2)^2=
(9+4(5)^1/2)(9+4(5)^1/2)=
81+9*4(5)^1/2+9*4(5)^1/2+4(5)^1/2 * 4(5)^1/2=
81+36(5)^1/2+36(5)^1/2+16*5=
81+72(5)^1/2+80=161+72(5)^1/2
b^2=
1/a^2=1/(161+72(5)^1/2)
a^2+b^2=161+72(5)^1/2 + 1/(161+72(5)^1/2)
