Square-Square Root Tricks & Chart from 1 to 100

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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
111.000
241.414
391.732
4162.000
5252.236
6362.449
7492.646
8642.828
9813.000
101003.162
111213.317
121443.464
131693.606
141963.742
152253.873
162564.000
172894.123
183244.243
193614.359
204004.472
214414.583
224844.690
235294.796
245764.899
256255.000
266765.099
277295.196
287845.292
298415.385
309005.477
319615.568
3210245.657
3310895.745
3411565.831
3512255.916
3612966.000
3713696.083
3814446.164
3915216.245
4016006.325
4116816.403
4217646.481
4318496.557
4419366.633
4520256.708
4621166.782
4722096.856
4823046.928
4924017.000
5025007.071
5126017.141
5227047.211
5328097.280
5429167.348
5530257.416
5631367.483
5732497.550
5833647.616
5934817.681
6036007.746
6137217.810
6238447.874
6339697.937
6440968.000
6542258.062
6643568.124
6744898.185
6846248.246
6947618.307
7049008.367
7150418.426
7251848.485
7353298.544
7454768.602
7556258.660
7657768.718
7759298.775
7860848.832
7962418.888
8064008.944
8165619.000
8267249.055
8368899.110
8470569.165
8572259.220
8673969.274
8775699.327
8877449.381
8979219.434
9081009.487
9182819.539
9284649.592
9386499.644
9488369.695
9590259.747
9692169.798
9794099.849
98                     9604                    9.899
99                     9801                    9.950
 100                   10000                     10