How many perfect squares are between 26 to 72
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Answer:
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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
Here is your answer dear⛄
➽ Perfect squares between 26 and 72 are :-
- 36 = 6²
- 49 = 7²
- 64 = 8²