Perfect Squares and their Square Roots


Perfect Square:

Taking a positive integer and squaring it (multiplying it by itself) equals a perfect square.
Example:   3 x 3 = 9   Thus: 9 is a perfect square.

Taking the square root (principal square root) of that perfect square equals the original positive integer.
Example:    9 = 3   Where: 3 is the original integer.

Note:   An integer has no fractional or decimal part, and thus a perfect square (which is also an integer) has no fractional or decimal part.


( Perfect Squares List from 1 to 10,000. )



  Positive  
  Integer  
  Integer  
  Squared=  
  Perfect Squares  
  List  
  Square Root of  
  Perfect Square=  
  Original  
  Integer  
1 1 ^2 = 1  1 = 1
2 2 ^2 = 4  4 = 2
3 3 ^2 = 9  9 = 3
4 4 ^2 = 16  16 = 4
5 5 ^2 = 25  25 = 5
6 6 ^2 = 36  36 = 6
7 7 ^2 = 49  49 = 7
8 8 ^2 = 64  64 = 8
9 9 ^2 = 81  81 = 9
10 10 ^2 = 100  100 = 10
11 11 ^2 = 121  121 = 11
12 12 ^2 = 144  144 = 12
13 13 ^2 = 169  169 = 13
14 14 ^2 = 196  196 = 14
15 15 ^2 = 225  225 = 15
16 16 ^2 = 256  256 = 16
17 17 ^2 = 289  289 = 17
18 18 ^2 = 324  324 = 18
19 19 ^2 = 361  361 = 19
20 20 ^2 = 400  400 = 20
21 21 ^2 = 441  441 = 21
22 22 ^2 = 484  484 = 22
23 23 ^2 = 529  529 = 23
24 24 ^2 = 576  576 = 24
25 25 ^2 = 625  625 = 25
26 26 ^2 = 676  676 = 26
27 27 ^2 = 729  729 = 27
28 28 ^2 = 784  784 = 28
29 29 ^2 = 841  841 = 29
30 30 ^2 = 900  900 = 30
31 31 ^2 = 961  961 = 31
32 32 ^2 = 1024  1024 = 32
33 33 ^2 = 1089  1089 = 33
34 34 ^2 = 1156  1156 = 34
35 35 ^2 = 1225  1225 = 35
36 36 ^2 = 1296  1296 = 36
37 37 ^2 = 1369  1369 = 37
38 38 ^2 = 1444  1444 = 38
39 39 ^2 = 1521  1521 = 39
40 40 ^2 = 1600  1600 = 40
41 41 ^2 = 1681  1681 = 41
42 42 ^2 = 1764  1764 = 42
43 43 ^2 = 1849  1849 = 43
44 44 ^2 = 1936  1936 = 44
45 45 ^2 = 2025  2025 = 45
46 46 ^2 = 2116  2116 = 46
47 47 ^2 = 2209  2209 = 47
48 48 ^2 = 2304  2304 = 48
49 49 ^2 = 2401  2401 = 49
50 50 ^2 = 2500  2500 = 50
51 51 ^2 = 2601  2601 = 51
52 52 ^2 = 2704  2704 = 52
53 53 ^2 = 2809  2809 = 53
54 54 ^2 = 2916  2916 = 54
55 55 ^2 = 3025  3025 = 55
56 56 ^2 = 3136  3136 = 56
57 57 ^2 = 3249  3249 = 57
58 58 ^2 = 3364  3364 = 58
59 59 ^2 = 3481  3481 = 59
60 60 ^2 = 3600  3600 = 60
61 61 ^2 = 3721  3721 = 61
62 62 ^2 = 3844  3844 = 62
63 63 ^2 = 3969  3969 = 63
64 64 ^2 = 4096  4096 = 64
65 65 ^2 = 4225  4225 = 65
66 66 ^2 = 4356  4356 = 66
67 67 ^2 = 4489  4489 = 67
68 68 ^2 = 4624  4624 = 68
69 69 ^2 = 4761  4761 = 69
70 70 ^2 = 4900  4900 = 70
71 71 ^2 = 5041  5041 = 71
72 72 ^2 = 5184  5184 = 72
73 73 ^2 = 5329  5329 = 73
74 74 ^2 = 5476  5476 = 74
75 75 ^2 = 5625  5625 = 75
76 76 ^2 = 5776  5776 = 76
77 77 ^2 = 5929  5929 = 77
78 78 ^2 = 6084  6084 = 78
79 79 ^2 = 6241  6241 = 79
80 80 ^2 = 6400  6400 = 80
81 81 ^2 = 6561  6561 = 81
82 82 ^2 = 6724  6724 = 82
83 83 ^2 = 6889  6889 = 83
84 84 ^2 = 7056  7056 = 84
85 85 ^2 = 7225  7225 = 85
86 86 ^2 = 7396  7396 = 86
87 87 ^2 = 7569  7569 = 87
88 88 ^2 = 7744  7744 = 88
89 89 ^2 = 7921  7921 = 89
90 90 ^2 = 8100  8100 = 90
91 91 ^2 = 8281  8281 = 91
92 92 ^2 = 8464  8464 = 92
93 93 ^2 = 8649  8649 = 93
94 94 ^2 = 8836  8836 = 94
95 95 ^2 = 9025  9025 = 95
96 96 ^2 = 9216  9216 = 96
97 97 ^2 = 9409  9409 = 97
98 98 ^2 = 9604  9604 = 98
99 99 ^2 = 9801  9801 = 99
100 100 ^2 = 10000  10000 = 100