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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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Q: What is 77 in four 4s?
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