The only solution that I have ever seen uses some notation that is not so commonly used, namely a bar over 4 to mean the infinitely repeating decimal
.44444... which is 4/9 . So, if x = 4/9 is written with one four,
then sqrt(4/x) 4 - 4 uses four fours and equals 77
since 4/x = 4 * 9/4 = 9 and
sqrt(9)4 - 4 = 34 - 4 = 81 - 4 = 77.
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_ (4/0.4)^sqrt4-4 =77 9 81 =77
44 divided by .44
4!/4 - 4/4 = 5
4!+(4+4!)/4
To achieve the number 77 with four fours, the solution is as follows: sqrt(4/.4)4 - 4 Instead of the second four being equal to four tenths, place a dot over the top to indicate it being equal to four ninths.