Square-Square Root Tricks & Chart from 1 to 100

Square-Square Root Tricks

Square-Square Root Tricks & Chart from 1 to 100

Facts for Square Roots Math tricks :

  • Squares of numbers from 1 to 9 are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
  • Square of a number cannot end with 2, 3, 7, and 8. OR number ending with 2, 3, 7 and 8 cannot have perfect squareroot.
  • Squareroot of a number ending with 1 (1, 81) ends with either 1 or 9 (10’s compliment of each other).
  • Squareroot of a number ending with 4 (4, 64) ends with either 2 or 8 (10’s compliment of each other).
  • Squareroot of a number ending with 9 (9, 49) ends with either 3 or 7 (10’s compliment of each other).
  • Squareroot of a number ending with 6 (16, 36) ends with either 4 or 6 (10’s compliment of each other).
  • If the number is of ‘n’ digits then square root will be ‘n/2’ OR ‘(n+1)/2’ digits.

Based on the facts, square root method can be calculated as follows:

  • Specific Method: This method shows how to find the square root of a PERFECT square.
  • General Method: This method shows a trick to find the square root of any of PERFECT of IMPERFECT Square.

Specific Method:
This shortcut method of Square Roots can be applied whenever a number is a perfect square.
Example:

The square root of 2209

  1. The number ends with 9, Since it’s a perfect square, square root will end with 3 or 7.
  2. Need to find 2 perfect squares (In Multiplies of 10) between which 2209 exists. Numbers are 1600(402) and 2500(502).
  3. Find to whom 2209 is closer. 2209 is closer to 2500. Therefore square root is nearer to 50Now from Step 2, possibilities are 43 or 47 out of which 47 is closer to 50
  4. Hence square root = 47

Square And Square Root Chart From 1 to 100

Number Square Square Root
1 1 1.000
2 4 1.414
3 9 1.732
4 16 2.000
5 25 2.236
6 36 2.449
7 49 2.646
8 64 2.828
9 81 3.000
10 100 3.162
11 121 3.317
12 144 3.464
13 169 3.606
14 196 3.742
15 225 3.873
16 256 4.000
17 289 4.123
18 324 4.243
19 361 4.359
20 400 4.472
21 441 4.583
22 484 4.690
23 529 4.796
24 576 4.899
25 625 5.000
26 676 5.099
27 729 5.196
28 784 5.292
29 841 5.385
30 900 5.477
31 961 5.568
32 1024 5.657
33 1089 5.745
34 1156 5.831
35 1225 5.916
36 1296 6.000
37 1369 6.083
38 1444 6.164
39 1521 6.245
40 1600 6.325
41 1681 6.403
42 1764 6.481
43 1849 6.557
44 1936 6.633
45 2025 6.708
46 2116 6.782
47 2209 6.856
48 2304 6.928
49 2401 7.000
50 2500 7.071
51 2601 7.141
52 2704 7.211
53 2809 7.280
54 2916 7.348
55 3025 7.416
56 3136 7.483
57 3249 7.550
58 3364 7.616
59 3481 7.681
60 3600 7.746
61 3721 7.810
62 3844 7.874
63 3969 7.937
64 4096 8.000
65 4225 8.062
66 4356 8.124
67 4489 8.185
68 4624 8.246
69 4761 8.307
70 4900 8.367
71 5041 8.426
72 5184 8.485
73 5329 8.544
74 5476 8.602
75 5625 8.660
76 5776 8.718
77 5929 8.775
78 6084 8.832
79 6241 8.888
80 6400 8.944
81 6561 9.000
82 6724 9.055
83 6889 9.110
84 7056 9.165
85 7225 9.220
86 7396 9.274
87 7569 9.327
88 7744 9.381
89 7921 9.434
90 8100 9.487
91 8281 9.539
92 8464 9.592
93 8649 9.644
94 8836 9.695
95 9025 9.747
96 9216 9.798
97 9409 9.849
98                      9604                     9.899
99                      9801                     9.950
 100                    10000                      10