Quines operacions podem fer servir perquè tres números iguals donin un resultat?
1 ⋅ 1 ⋅ 1 = 1 {\displaystyle 1\cdot 1\cdot 1=1\ }
2 2 − 2 = 1 {\displaystyle 2^{2-2}=1\ }
3 3 − 3 = 1 {\displaystyle 3^{3-3}=1\ }
4 4 − 4 = 1 {\displaystyle 4^{4-4}=1\ }
5 5 − 5 = 1 {\displaystyle 5^{5-5}=1\ }
6 6 − 6 = 1 {\displaystyle 6^{6-6}=1\ }
7 7 − 7 = 1 {\displaystyle 7^{7-7}=1\ }
8 8 − 8 = 1 {\displaystyle 8^{8-8}=1\ }
9 9 − 9 = 1 {\displaystyle 9^{9-9}=1\ }
1 ⋅ 1 + 1 = 2 {\displaystyle 1\cdot 1+1=2\ }
2 + 2 − 2 = 2 {\displaystyle 2+2-2=2\ }
3 − 3 : 3 = 2 {\displaystyle 3-3:3=2\ }
4 + 4 − 4 = 2 {\displaystyle {\sqrt {4}}+{\sqrt {4}}-{\sqrt {4}}=2\ }
5 − 5 : 5 = 2 {\displaystyle {\sqrt {5-5:5}}=2\ }
( 6 + 6 ) : 6 = 2 {\displaystyle (6+6):6=2\ }
( 7 + 7 ) : 7 = 2 {\displaystyle (7+7):7=2\ }
( 8 + 8 ) : 8 = 2 {\displaystyle (8+8):8=2\ }
( 9 + 9 ) : 9 = 2 {\displaystyle (9+9):9=2\ }
1 + 1 + 1 = 3 {\displaystyle 1+1+1=3\ }
2 + 2 : 2 = 3 {\displaystyle 2+2:2=3\ }
3 ⋅ 3 : 3 = 3 {\displaystyle 3\cdot 3:3=3\ }
4 − 4 : 4 = 3 {\displaystyle 4-4:4=3\ }
555 = 3 {\displaystyle 555=3\ }
666 = 3 {\displaystyle 666=3\ }
777 = 3 {\displaystyle 777=3\ }
8 3 + 8 : 8 = 3 {\displaystyle {\sqrt[{3}]{8}}+8:8=3\ }
9 + 9 − 9 = 3 {\displaystyle {\sqrt {9}}+{\sqrt {9}}-{\sqrt {9}}=3\ }
111 = 4 {\displaystyle 111=4\ }
2 ∗ 2 + 2 = 4 {\displaystyle {\sqrt {2*2}}+2=4\ }
3 + 3 : 3 = 4 {\displaystyle 3+3:3=4\ }
4 + 4 − 4 = 4 {\displaystyle 4+4-4=4\ }
5 − 5 : 5 = 4 {\displaystyle 5-5:5=4\ }
666 = 4 {\displaystyle 666=4\ }
777 = 4 {\displaystyle 777=4\ }
8 ⋅ 8 3 + 8 3 = 4 {\displaystyle {\sqrt {\sqrt[{3}]{8\cdot 8}}}+{\sqrt[{3}]{8}}=4\ }
9 + 9 : 9 = 4 {\displaystyle {\sqrt {9}}+9:9=4\ }
111 = 5 {\displaystyle 111=5\ }
222 = 5 {\displaystyle 222=5\ }
3 ! − 3 : 3 = 5 {\displaystyle 3!-3:3=5\ }
4 + 4 : 4 = 5 {\displaystyle 4+4:4=5\ }
5 + 5 − 5 = 5 {\displaystyle 5+5-5=5\ }
6 − 6 : 6 = 5 {\displaystyle 6-6:6=5\ }
777 = 5 {\displaystyle 777=5\ }
888 = 5 {\displaystyle 888=5\ }
999 = 5 {\displaystyle 999=5\ }
( 1 + 1 + 1 ) ! = 6 {\displaystyle (1+1+1)!=6\ }
2 + 2 + 2 = 6 {\displaystyle 2+2+2=6\ }
3 ⋅ 3 − 3 = 6 {\displaystyle 3\cdot 3-3=6\ }
4 + 4 + 4 = 6 {\displaystyle {\sqrt {4}}+{\sqrt {4}}+{\sqrt {4}}=6\ }
5 + 5 : 5 = 6 {\displaystyle 5+5:5=6\ }
6 + 6 − 6 = 6 {\displaystyle 6+6-6=6\ }
7 − 7 : 7 = 6 {\displaystyle 7-7:7=6\ }
8 3 + 8 3 + 8 3 = 6 {\displaystyle {\sqrt[{3}]{8}}+{\sqrt[{3}]{8}}+{\sqrt[{3}]{8}}=6\ }
9 ∗ 9 − 9 = 6 {\displaystyle {\sqrt {9*9}}-{\sqrt {9}}=6\ }
111 = 7 {\displaystyle 111=7\ }
222 = 7 {\displaystyle 222=7\ }
3 ! + 3 : 3 = 7 {\displaystyle 3!+3:3=7\ }
( 4 ! + 4 ) : 4 = 7 {\displaystyle (4!+4):4=7\ }
555 = 7 {\displaystyle 555=7\ }
6 + 6 : 6 = 7 {\displaystyle 6+6:6=7\ }
7 + 7 − 7 = 7 {\displaystyle 7+7-7=7\ }
8 − 8 : 8 = 7 {\displaystyle 8-8:8=7\ }
999 = 7 {\displaystyle 999=7\ }
111 = 8 {\displaystyle 111=8\ }
2 ⋅ 2 ⋅ 2 = 8 {\displaystyle 2\cdot 2\cdot 2=8\ }
333 = 8 {\displaystyle 333=8\ }
4 ⋅ 4 + 4 = 8 {\displaystyle {\sqrt {4\cdot 4}}+4=8\ }
555 = 8 {\displaystyle 555=8\ }
666 = 8 {\displaystyle 666=8\ }
7 + 7 : 7 = 8 {\displaystyle 7+7:7=8\ }
8 + 8 − 8 = 8 {\displaystyle 8+8-8=8\ }
9 − 9 : 9 = 8 {\displaystyle 9-9:9=8\ }
111 = 9 {\displaystyle 111=9\ }
222 = 9 {\displaystyle 222=9\ }
3 + 3 + 3 = 9 {\displaystyle 3+3+3=9\ }
444 = 9 {\displaystyle 444=9\ }
555 = 9 {\displaystyle 555=9\ }
666 = 9 {\displaystyle 666=9\ }
777 = 9 {\displaystyle 777=9\ }
8 + 8 : 8 = 9 {\displaystyle 8+8:8=9\ }
9 + 9 − 9 = 9 {\displaystyle 9+9-9=9\ }