Here's a fun (albeit difficult) one:
Make these equations true using arithmetic operations:
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6
For example: 6 + 6 - 6 = 6
(I hope I did not spoil some of you :D)
Allowed operators are:
+, -, *, /, ! , ^, %
Setting parenthesis is also allowed.
The ^
operator is an exception as you are permitted to supply a second argument to it which may be any positive integer or the multiplicative inverse of it.
x1/y is always positive and real.
If you find an alternative solution using other operators you may post it but please also provide a solution using only these 7 operators.
For those of you who think this was easy, here is a bonus:
0 0 0 = 6
Answer
1.
(1+1+1)!=6
2.
2+2+2=6
3.
3∗3−3=6
4.
(4−44)!=√4+√4+√4=6
5.
5+55=6
6.
6∗66=6+6−6=6
7.
7−77=6
8.
(√8+88)!=6
9.
(√9√9√9)!=6
Bonus:
(0!+0!+0!)!=6
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