Four 4’s: 21 – 40

In a previous problem, you found mathematical expressions equalling each of the numbers 1 – 20 using exactly four 4’s and any mathematical symbols you wanted to. Now make 21 – 40 following the same rules.


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21 = 4! – √4 – (4 ÷ 4)
22 = 4! – √4 + 4 – 4
23 = 4! – √4 + (4 ÷ 4)
24 = [(4 x 4) + 4] + 4
25 = 4! + √4 – (4 ÷ 4)
26 = 4! + (4 + 4) ÷ 4
27 = 4! + √4 + (4 ÷ 4)
28 = 4! + 4 – 4 + 4
29 = 4! + 4 + (4 ÷ 4)
30 = 4! + √4 + √4 + √4
   or (4 + 4 + 4) ÷ .4
31 = [(4! + 4) ÷ 4] +4!
32 = 4! + 4 + √4 + √4
   or (4 ÷ .4) + 4! – √4
33 = [4 – .4) ÷ .4] + 4!
34 = 4! + (4 x √4) + √4
35 = [(4 + .4) ÷ .4] + 4!
36 = 4! + 4 + 4 + 4
37 = [(4! + √4) ÷ √4] + 4!
38 = 44 – √4 – 4
39 = 4! + (4 + √4) ÷ .4
40 = 4! + 4! – 4 – 4

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