# Representation of numbers with three 5's

 1 √5·√5/5=(5·5)&5 2 (5+5)/5 3 √5·√5-[√5] = 5·.5 + .5 (2) 4 5-5/5 5 5·5/5=5/.5-5 6 5+5/5=5+.5+.5 7 √5·√5+[√5] 8 5/.5-[√5] 9 √5·√5/.(5) 10 √5·√5/.5=5<<(5/5) 11 55/5 12 5/.5+[√5] 13 [√5+5·√5] 14 5/.(5)+5 15 5+5+5 16 5!!+5/5 17 5!!+[5/√5] 18 5!!+5-[√5] 19 5!!+5-[√√5] 20 5!!+√5·5] 21 5!!+5+[√√5] 22 5!!+5+[√5]=[5·5-√5] 23 5·5-[√5] 24 (5-5/5)! 25 5!! + 5 + 5(1) 26 5·5+[√√5] 27 5·5+[√5] 28 [√5]·[√5! + √(√5!)](3) 29 [5·5·√√√√√5!](3) = 5!/5 + 5(3) 30 5·5+5 31 31=[(√5! + 5) * [√5]](3) 32 5!!/.(5)+5

(1) By Andre Gustavo dos Santos, Brasil

(2) By my son, David

(3) By Iulianos Kakulidis, Greece

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