# Table of Squares and Square Roots

Updated February 21, 2017 | Factmonster Staff

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.

- 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).

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 | 1,024 | 5.657 |

33 | 1,089 | 5.745 |

34 | 1,156 | 5.831 |

35 | 1,225 | 5.916 |

36 | 1,296 | 6.000 |

37 | 1,369 | 6.083 |

38 | 1,444 | 6.164 |

39 | 1,521 | 6.245 |

40 | 1,600 | 6.325 |

41 | 1,681 | 6.403 |

42 | 1,764 | 6.481 |

43 | 1,849 | 6.557 |

44 | 1,936 | 6.633 |

45 | 2,025 | 6.708 |

46 | 2,116 | 6.782 |

47 | 2,209 | 6.856 |

48 | 2,304 | 6.928 |

49 | 2,401 | 7.000 |

50 | 2,500 | 7.071 |

51 | 2,601 | 7.141 |

52 | 2,704 | 7.211 |

53 | 2,809 | 7.280 |

54 | 2,916 | 7.348 |

55 | 3,025 | 7.416 |

56 | 3,136 | 7.483 |

57 | 3,249 | 7.550 |

58 | 3,364 | 7.616 |

59 | 3,481 | 7.681 |

60 | 3,600 | 7.746 |

61 | 3,721 | 7.810 |

62 | 3,844 | 7.874 |

63 | 3,969 | 7.937 |

64 | 4,096 | 8.000 |

65 | 4,225 | 8.062 |

66 | 4,356 | 8.124 |

67 | 4,489 | 8.185 |

68 | 4,624 | 8.246 |

69 | 4,761 | 8.307 |

70 | 4,900 | 8.367 |

71 | 5,041 | 8.426 |

72 | 5,184 | 8.485 |

73 | 5,329 | 8.544 |

74 | 5,476 | 8.602 |

75 | 5,625 | 8.660 |

76 | 5,776 | 8.718 |

77 | 5,929 | 8.775 |

78 | 6,084 | 8.832 |

79 | 6,241 | 8.888 |

80 | 6,400 | 8.944 |

81 | 6,561 | 9.000 |

82 | 6,724 | 9.055 |

83 | 6,889 | 9.110 |

84 | 7,056 | 9.165 |

85 | 7,225 | 9.220 |

86 | 7,396 | 9.274 |

87 | 7,569 | 9.327 |

88 | 7,744 | 9.381 |

89 | 7,921 | 9.434 |

90 | 8,100 | 9.487 |

91 | 8,281 | 9.539 |

92 | 8,464 | 9.592 |

93 | 8,649 | 9.644 |

94 | 8,836 | 9.695 |

95 | 9,025 | 9.747 |

96 | 9,216 | 9.798 |

97 | 9,409 | 9.849 |

98 | 9,604 | 9.899 |

99 | 9,801 | 9.950 |

100 | 10,000 | 10.000 |

NOTE: Square roots in this table are rounded to the nearest thousandth.