jika a = 3 - √2 , b = 3 + √2 , dan a^2 + b^2 - 2a = p + q √2 maka p + q = ...

a² + b² - 2a
= (3 - √2)² + (3 + √2)² - 2(3 - √2)
= (3 - √2)(3 - √2) + (3 + √2)(3 + √2) - 2(3 - √2)
= 9 - 3√2 - 3√2 + 2 + 9 + 3√2 + 3√2 + 2 - 6 + 2√2
= 16 + 2√2
p = 16 dan q = 2

Maka p + q adalah:
= 16 + 2
= 18 (C)