Represent 4 with four identical digits using only the usual arithmetic operations, factorials and square roots

Solution

1 + 1 + 1 + 1	= 4
2×2 + 2 - 2	= 4
√3×√3 + 3/3	= 4
√4×√4 + 4 - 4	= 4
5 - √5×√5/5	= 4
6 - (6 + 6)/6	= 4
77/7 - 7	= 4
√√(8 + 8) + √√(8 + 8)	= 4
√√9×√√9 + 9/9	= 4
0! + 0! + 0! + 0!	= 4

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