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Table of Squares and Square Roots

Use this table to find the squares and square roots of numbers from 1 to 100.

You can also use this table to estimate the square roots of larger numbers.

Table for estimation of square roots
  • For instance, if you want to find the square root of 2000, look in the middle column until you find the number that is closest to 2000. The number in the middle column that is closest to 2000 is 2,025.
  • Now look in at the number to the left of 2,025 to find its square root. The square root of 2,025 is 45.
  • Therefore, the approximate square root of 2,000 is 45.

To get a more exact number, you will have to use a calculator (44.721 is the more exact square root of 2,000).

numbersquaresquare 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
321,0245.657
331,0895.745
341,1565.831
351,2255.916
361,2966.000
371,3696.083
381,4446.164
391,5216.245
401,6006.325
411,6816.403
421,7646.481
431,8496.557
441,9366.633
452,0256.708
462,1166.782
472,2096.856
482,3046.928
492,4017.000
502,5007.071
512,6017.141
522,7047.211
532,8097.280
542,9167.348
553,0257.416
563,1367.483
573,2497.550
583,3647.616
593,4817.681
603,6007.746
613,7217.810
623,8447.874
633,9697.937
644,0968.000
654,2258.062
664,3568.124
674,4898.185
684,6248.246
694,7618.307
704,9008.367
715,0418.426
725,1848.485
735,3298.544
745,4768.602
755,6258.660
765,7768.718
775,9298.775
786,0848.832
796,2418.888
806,4008.944
816,5619.000
826,7249.055
836,8899.110
847,0569.165
857,2259.220
867,3969.274
877,5699.327
887,7449.381
897,9219.434
908,1009.487
918,2819.539
928,4649.592
938,6499.644
948,8369.695
959,0259.747
969,2169.798
979,4099.849
989,6049.899
999,8019.950
10010,00010.000
NOTE: Square roots in this table are rounded to the nearest thousandth.

Information Please® Database, © 2007 Pearson Education, Inc. All rights reserved.

Mean and MedianNumbers and FormulasFinding Square Roots

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