Odpowiedź:
a) (1+√2)^3 + (1-√2)^3 = 1+3√2+6+2√2+1-3√2+6-2√2=1+6+2√2+1+6-2√2=1+6+1+6=14
b) (4+√2)^3-(4-√2)^3=64+48√2+24+2√2-(64-48√2+24-2√2)=64+48√2+24+2√2-(80-50√2)=64+48√2+24+2√2-88+50√2=0+100√2=100√2
c) (2√3-1)^3-(2√3+1)^3=24√3-36+6√3-1-(24√3+36+6√3+1)=24√3-36+6√3-1-(30√3+37)=24√3-36+6√3-1-30√3-37=0-74=-74
d) (5√-√2)^3+(√5+√2)^3=5√5-15√2+6√5-2√2+5√5+15√2+6√5+2√2=22√5
