# Square root of 7.1289 | √7.1289

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Here is the answer to questions like: Square root of 7.1289 | √7.1289 or what is the square root of 7.1289?

Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.

## The Babylonian Method also known as Hero's Method

See below how to calculate the square root of 7.1289 step-by-step using the **Babylonian Method** also known as **Hero's Method**.

## What is square root?

### Definition of square root

A square root of a number 'a' is a number x such that x^{2} = a, in other words, a number x whose square is a. For example, 2 is the square root of 4 because 2^{2} = 2•2 = 4, -2 is square root of 4 because (-2)^{2} = (-2)•(-2) = 4.

## Square Root Table 1-100

Square roots from 1 to 100 rounded to the nearest thousandth.

n | n^{2} | √ |
---|---|---|

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 |

n | n^{2} | √ |
---|---|---|

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 |

n | n^{2} | √ |
---|---|---|

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 |

n | n^{2} | √ |
---|---|---|

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 |