Representation of numbers with four 5's

1	5/5×5/5 = 5×5-5!/5^⁽²⁾
2	(5+5)/√5/√5 = 5!!-5!/5!!-5^⁽²⁾ = (5!!/5)!)!!×5/5!^⁽²⁾ = 5!/5!!-(5!!/5)!^⁽²⁾ = 5!!/5-5/5^⁽²⁾
3	(5+5+5)/5 = 5!/5!!-√(5×5)^⁽²⁾ = 5!!/5+5-5^⁽²⁾ = 5×5-5×.5^⁽²⁾
4	√5×√5-5/5 = 5/.5-(5!!/5)!^⁽²⁾ = 5/5/.5/.5^⁽²⁾ = 5!!/5+5/5^⁽²⁾
5	5×5/√5/√5 = (5+5)/.5-5!!^⁽²⁾ = (5!!/5)!-5/5^⁽²⁾
6	√5×√5+5/5 = 55/5-5^⁽²⁾ = (5!!/5)!+5-5^⁽²⁾
7	5+(5+5)/5 = 5!/(5+5)-5^⁽²⁾ = (5!!/5)!+5/5^⁽²⁾ = 55-((5!!/5)!)!!^⁽²⁾ = 55-((15/5)!)!!^⁽²⁾ = √(5!!×5!!)×.5-.5^⁽²⁾ = √(((5!!/5)!)!/5)-5^⁽²⁾
8	5/.(5)-5/5 = 5!/5!!+5-5^⁽²⁾ = √(5!!×5!!)×.5+.5^⁽²⁾ = 5!/(5+5+5)^⁽³⁾
9	5/.5-5/5 = 5!!-5-5/5^⁽²⁾ = 5!!/5+5!!/5^⁽²⁾ = 5!!/5×5!!/5^⁽²⁾ = 5!/√(5×5)-5!!^⁽²⁾ = 5+5-5/5^⁽³⁾
10	5/.5+5-5=5/.(5)+5/5 = 5!!×.5+5×.5^⁽²⁾ = 5+5+5-5^⁽²⁾ = 55/5.5^⁽²⁾
11	5+5+5/5 = 5!!-5+5/5^⁽²⁾ = 55/√(5×5) = ((5!!/5)!-.5)/.5^⁽²⁾
12	5+5+[.5×5] = 5!!-5!/5!!+5^⁽²⁾ = 5!/√(5×5)×.5^⁽²⁾ = √(((5!!/5)!)!/√(5×5))^⁽²⁾
13	(5+5)/.(5)-5=5!!-(5+5)/5 = 5!/5!!+√(5×5)^⁽²⁾ = ((5!!/5)!+.5)/.5^⁽²⁾ = (5!-55)/5^⁽³⁾
14	5+5+5-[√√5] = 5!/5-5/.5^⁽²⁾ = 5!/5-5!!+5^⁽²⁾ = 5!/5!!+(5!!/5)!^⁽²⁾ = 5!/5-5-5^⁽³⁾
15	(5+5)/.5-5=5×5-5-5 = (5!/5!!-.5)/.5^⁽²⁾ = 5!!+5-√(5×5)^⁽²⁾
16	5×5-5/.(5) = 55/5+5^⁽²⁾ = (5!/5!!)!!/5!×5^⁽²⁾ = (5!!+.5)/.5-5!!^⁽²⁾
17	[(5+5)/.5-√5] = 5!!+(5+5)/5 = 5!/(5+5)+5^⁽²⁾ = 5×5-5!/5!!^⁽²⁾ = (5!!-5-.5)/.5^⁽²⁾ = √(((5!!/5)!)!/5)+5^⁽²⁾ = (5!/5!!+.5)/.5^⁽²⁾ = 5!!/.(5)-5-5^⁽²⁾ = 5!!/.(5)-5!!+5^⁽²⁾ = (5!!/).(5)-.5)/.5^⁽²⁾
18	5!!+5+5-5 = (5+5)/.5-[√5] = 5!!+5!/5!!-5^⁽²⁾ = 5!/5!!+5+5^⁽²⁾ = (5!!/5)×(5!!/5)!^⁽²⁾ = 15/5×(15/5)!^⁽²⁾ = 5!!+(5!!/5)!×.5^⁽²⁾ = 5/.(5)+5/.(5)^⁽²⁾ = (5!-5)/5-5^⁽³⁾
19	5/.5+5/.(5) = 5!!+5-5/5^⁽²⁾ = (5!!-5+.5)/.5^⁽²⁾ = (5!-5·5)/5
20	5/.5+5/.5 = 5!!+√(5×5)^⁽²⁾ = 5!!/.5-5/.5^⁽²⁾ = 5!/5!!×5×.5^⁽²⁾
21	5!!+5+5/5 = (5!!-5+.5)/.5-5!!^⁽²⁾ = ((5!!/5)!)!!-5!!/.(5)^⁽²⁾
22	(5+5)/.5+[√5] = 55/5/.5^⁽²⁾ = 5!!+5!!-5!/5!!^⁽²⁾ = (5!-5-5)/5^⁽³⁾
23	(5+5)/.(5)+5 = 5!/5-5/5^⁽²⁾ = 5!/5!!+5!!^⁽²⁾ = ((5!!/5)!)!!-5×5^⁽²⁾
24	5×5-5/5 = 5!/5+5-5^⁽²⁾ = 5!/5×5/5^⁽²⁾ = 5!!/.5-(5!!/5)!^⁽²⁾ = (5!!-.5)/.5-5^⁽²⁾
25	5×5+5-5 = 5!/5+5/5^⁽²⁾ = √(5×5×5×5)^⁽²⁾ = 5!/5!!×5-5!!^⁽²⁾ = (55-5)×.5^⁽²⁾ = √(5!+5)×√5^⁽²⁾
26	5×5+5/5 = 5!!+55/5^⁽²⁾ = (5!/5!!+5)/.5^⁽²⁾ = (5!!+.5)/.5-5^⁽²⁾ = (5!+5+5)/5^⁽³⁾
27	5!!/.(5)+5-5 = 5!!+5!!-5!!/5^⁽²⁾ = 5!!+(5!!/5)!/.5^⁽²⁾ = 55×.5-.5^⁽²⁾ = √(((5!!/5)!)!/5)+5!!^⁽²⁾
28	5!!/.(5)+5/5 = 5!!/.5-5+[√√5!]^⁽¹⁾ = 5!!+5!/5!!+5^⁽²⁾ = 55×.5+.5^⁽²⁾ = (5!!-5/5)/.5^⁽²⁾ = 55-5!!/.(5)^⁽²⁾
29	5!!/.5-5/5 = 5!/5+√(5×5)^⁽²⁾ = 5!!+5!!-5/5^⁽²⁾ = (5!+5·5)/5^⁽³⁾
30	5!!/.5+5-5 = (5+5/5)×5 = 55-5×5 = (55+5)×.5 = 5!/5+(5!!/5)!^⁽²⁾
31	5!!/.5+5/5 = 5!!/.5-5+[√√5!]!^⁽¹⁾ = 5!!/.5+5/5^⁽²⁾ = 55-5!/5^⁽²⁾ = ^.5√((5!!/5)!)-5^⁽²⁾
32	5×5+5+[√5] = 5!/5!!/.5/.5^⁽²⁾ = 5!/5+5!/5!!^⁽²⁾ = (5!!+5/5)/.5^⁽²⁾
33	5!!/.5+5-[√5] = 5!!+5!!+5!!/5^⁽²⁾ = 5!/5/.5-5!!^⁽²⁾ = 5.5×(5!!/5)!^⁽²⁾ = (5+.5)× (5!!/5)!^⁽²⁾
34	5!!/.5+[√5+√5] = 5!/5+5/.5^⁽²⁾ = (5!!-.5)/.5+5^⁽²⁾ = 5!/5+5!!-5^⁽²⁾
35	5×5+5+5 = 5!!/.5+√5×√5 = 55-5!!-5^⁽²⁾ = 5!/5!!×5-5^⁽²⁾ = 5!×.5-5×5^⁽²⁾ = (5!!×.5-.5)×5^⁽²⁾
36	5!!/.(5)+5/.(5)=5!!/.5+5+[√√5]36 = (5!!/5)!×(5!!/5)!^⁽²⁾ = 5!!/.5+(5!!/5)!^⁽²⁾ = (5!!+.5)/.5+5^⁽²⁾
37	5!!/.(5)+5+5 = 5!!×5×.5-.5^⁽²⁾ = 5!!/.(5)+5!!-5^⁽²⁾
38	5!!+5×5-[√5] = ((5!!/5)!)!!-5-5^⁽²⁾ = ((5!!/5)!)!!-5!!+5^⁽²⁾ = 5!!×5×.5+.5^⁽²⁾
39	5!!+5×5-[√√5] = 5!/√(5×5)+5!!^⁽²⁾ = (5!!+5-.5)/.5^⁽²⁾
40	(5×5-5)/.5^⁽¹⁾ = 5!!+5!!+5!!-5^⁽²⁾ = 5!!/.5+5/.5^⁽²⁾ = ((5!!/5)!)!!-5!/5!!^⁽²⁾ = 5/.5/.5/.5^⁽²⁾ = (5+5)/.5/.5^⁽²⁾ = (5!!×.5+.5)×5^⁽²⁾
41	5!!+5×5+[√√5]41 = (5!!+5+.5)/.5^⁽²⁾ = (5!!+5.5)/.5^⁽²⁾ = ^.5√((5!!/5)!)+5^⁽²⁾
42	5!!+5×5+[√5] = ((5!!/5)!)!!-(5!!/5)!^⁽²⁾
43	((5!!/5)!)!!-√(5×5)^⁽²⁾ = 5!/5/.5-5^⁽²⁾
44	5.5×5!/5!!^⁽²⁾ = (5+.5)×5!/5!!^⁽²⁾ = 5!/5+5!!+5^⁽²⁾
45	55-5-5^⁽²⁾ = 55-5!!+5^⁽²⁾ = 5!/5!!×5+5^⁽²⁾ = ((5!!/5)!)!!-5!!/5^⁽²⁾ = 5×5/.5-5^⁽²⁾
46	(5!!+.5)/.5+5!!^⁽²⁾ = 55-5/.(5)^⁽²⁾
47	55-5!/5!!^⁽²⁾ = ((5!!/5)!)!!-5/5^⁽²⁾ = 55-5!/5!!^⁽²⁾ = 5!!/.(5)+5!!+5^⁽²⁾
48	((5!!/5)!)!!+5-5^⁽²⁾ = (5!!/5)!×5!/5!!^⁽²⁾ = (5!/5!!)!!/(5!/5!!)^⁽²⁾
49	((5!!/5)!)!!+5/5^⁽²⁾ = 55-(5!!/5)!^⁽²⁾ = 5!/5!!+5×5^⁽²⁾ = (5×5-.5)/.5^⁽²⁾ = ^.5√(5!/5)-5!!^⁽²⁾
50	55-√(5×5)^⁽²⁾ = 5!!×5-5×5^⁽²⁾ = 5!!+5!!+5!!+5^⁽²⁾ = (5!-5!!-5)××.5^⁽²⁾ = (5!!×5+5!!)×.(5)^⁽²⁾
51	((5!!/5)!)!!+5!!/5^⁽²⁾ = 5!!×5-5!/5^⁽²⁾ = (5×5+.5)/.5^⁽²⁾ = 5!/5+5!!/.(5)^⁽²⁾
52	55-5!!/5^⁽²⁾ = 5!×.5-5!/5!!^⁽²⁾ = (5!-5!!)×.5-.5^⁽²⁾
53	((5!!/5)!)!!+√(5×5)^⁽²⁾ = 5!/5/.5+5^⁽²⁾ = (5!-5!!)×.5+.5^⁽²⁾ = (5!!/.(5)-.5)/.5^⁽²⁾
54	55-5/5^⁽²⁾ = ((5!!/5)!)!!+(5!!/5)!^⁽²⁾ = 5!×.5-(5!!/5)!^⁽²⁾ = 5!/5+5!!+5!!^⁽²⁾ = 5!!/.(5)+5!!/.(5)^⁽²⁾
55	55+5-5^⁽²⁾ = 5!×.5-√(5×5)^⁽²⁾ = (5!!+5!!)/.5-5^⁽²⁾ = 5!!×5-15!!-5^⁽²⁾ = (5!-5!!+5)×.5^⁽²⁾ = 5×5/.5+5^⁽²⁾ = (5!!/.(5)+.5)/.5^⁽²⁾
56	55+5/5^⁽²⁾ = ((5!!/5)!)!!+5!/5!!^⁽²⁾
57	5!×.5-5!!/5^⁽²⁾ = (5!-5)�.5-.5^⁽²⁾ = 5!-((5!!/5)!)!!-5!!^⁽²⁾ = 5!!/.(5)+5!!+5!!^⁽²⁾
58	55+5!!/5^⁽²⁾ = (5!-5)×.5+.5^⁽²⁾ = ((5!!/5)!)!!+5+5^⁽²⁾
59	5!×.5-5/5^⁽²⁾ = (5!!+5!!-.5)/.5^⁽²⁾ = ^.5√(5!/5)-5^⁽²⁾
60	55+√(5×5)^⁽²⁾ = 5!!/.5+5!!/.5^⁽²⁾ = √(((5!!/5)!)!/5)×5^⁽²⁾ = √(5×5!!×((5!!/5)!)!!)^⁽²⁾
61	5!×.5+5/5^⁽²⁾ = 55+(5!!/5)!^⁽²⁾ = (5!!+5!!+.5)/.5^⁽²⁾
62	(5!+5)×.5-.5^⁽²⁾
63	55+5!/5!!^⁽²⁾ = 5!/5/.5+5!!^⁽²⁾ = 5!×.5+5!!/5^⁽²⁾ = (5!+5)×.5+.5^⁽²⁾
64	5!/5!!×5!/5!!^⁽²⁾ = (5!/5!!)!!/(5!!/5)!^⁽²⁾ = 55+5/.(5)^⁽²⁾
65	5!×.5+√(5×5)^⁽²⁾ = (5!!+5!!)/.5+5^⁽²⁾ = 5!!/.5/.5+5^⁽²⁾
66	5!×.5+(5!!/5)!^⁽²⁾ = (((5!!/5)!)!!-5!!)/.5^⁽²⁾ = 5!!/5-5/0.(5)^⁽²⁾ = ^.5√(5/.(5))-5!!^⁽²⁾
67	5!!×5-5!/5!!^⁽²⁾ = (5!+5!!)×.5-.5^⁽²⁾ = 5!-((5!!/5)!)!!-5^⁽²⁾
68	5!×.5+5!/5!!^⁽²⁾ = (5!+5!!)×.5+.5^⁽²⁾
69	5!!×5-(5!!/5)!^⁽²⁾ = ^.5√(5!/5)+5^⁽²⁾
70	5!!×√(5×5)-5^⁽²⁾ = (5!+5!!+5)×.5^⁽²⁾
71	ceiling(√(√((5×5 + 5)⁵)))^⁽³⁾
72	((5!!/5)!)!!+5!/5^⁽²⁾ = 5!!×5-5!!/5^⁽²⁾ 72 = 5!!/5×5!/5^⁽²⁾ = ((5!!/5)!)!/5×.5^⁽²⁾
73	5×5×ceiling(√5) - [√5]^⁽³⁾
74	5!!×5-5/5^⁽²⁾
75	55+5!!+5^⁽²⁾ = 5!!×5+5-5^⁽²⁾ = 5!!×(5!!/5)!-5!!^⁽²⁾ = ((5!!/5)!)!!+5!!/.(5)^⁽²⁾ = (5 + 5 + 5)×5
76	5!!×5+5/5^⁽²⁾ = ^.5√(5/.(5))-5^⁽²⁾
77	5!-((5!!/5)!)!!+5^⁽²⁾
78	((5!!/5)!)!!+5!!/.5^⁽²⁾ = 5!!×5+5!!/5^⁽²⁾ = 5!-5!!/.(5)-5!!^⁽²⁾
79	55+5!/5^⁽²⁾ = ^.5√(5!/5)+5!!^⁽²⁾
80	55+5×5^⁽²⁾ = 5!!×5+√(5×5)^⁽²⁾ = (55-5!!)/.5^⁽²⁾ = (5×5-5!!)/.5^⁽²⁾ = 5!-5×5-5!!^⁽²⁾ = ((5!!/5)!)!/5×.(5)^⁽²⁾
81	5!!×5+(5!!/5)!^⁽²⁾ = ((5!!/5)!)!!/.5-5!!^⁽²⁾ = 5×5/.(5)/.(5)^⁽²⁾
82	55+5!!/.(5)^⁽²⁾
83	5!!×5+5!/5!!^⁽²⁾
84	5!-^.5√((5!!/5)!)^⁽²⁾
85	5!!×5+5+5^⁽²⁾ = 5!!×(5!!/5)!-5^⁽²⁾
86	(((5!!/5)!)!!-5)/.5^⁽²⁾ = ^.5√(5/.(5)) + 5^⁽²⁾
87	5!-((5!!/5)!)!!+5!!^⁽²⁾
88	ceiling(55 × (√(√5))) + 5^⁽³⁾
89	[√(5!)] × (5 + 5) - ceiling(√(5!))^⁽³⁾
90	[√(5!)] × (5 + 5) - [√(5!)]^⁽³⁾
91	[√5]⁵ × ceiling[√5] - 5^⁽³⁾
92	5! - 5×5 - ceiling(√5)^⁽³⁾
93	5! - 5×5 - [√5]^⁽³⁾
94	[√5]⁵ × ceiling(√5) - [√5]^⁽³⁾
95	(5 + 5)^[√5] - 5^⁽³⁾
96	[√5]⁵ × (5 - [√5])^⁽³⁾
97	(5 + 5)^[√5] - ceiling[√5]^⁽³⁾
98	(5 + 5)^[√5] - [√5]^⁽³⁾
99	[√5]⁵ × ceiling[√5] + ceiling[√5]^⁽³⁾
100	(5 + 5) × (5 + 5)^⁽³⁾ = 5! - 5 × 5 + 5^⁽⁴⁾

⁽¹⁾ By Andre Gustavo dos Santos from Brasil

⁽²⁾ By Vladimir Zajic

⁽³⁾ By Denis Borris

⁽⁴⁾ By Jim Bean

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Representation of numbers with four 5's

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