[질문] a=1+루트2, b=1-루트2일때, a세제곱b세제곱+1=???

1+√2의3승은7+5√2,1-√2의3승은7-5√2입니다.결국a^3xb^3=(7+5√2)(7-5√2)=49-50이므로-1입니다.∴a^3 x b^3 + 1 = -1+1=0입니다^^좋은저녁되세요~