Square Root Table  From 1 To 50 

Let’s explore the square roots of the integers from 1 to 50.

Square Roots of Integers 1 to 50

  1. Definition: The square root of a number ( x ) is a number ( y ) such that ( y^2 = x ). For positive integers, the square root is usually a positive number.
  2. Square Roots from 1 to 50:
  • 1: √1 = 1
  • 2: √2 = 1.41
  • 3: √3 ≈1.73
  • 4: √4 = 2
  • 5: √5 ≈ 2.24
  • 6: √6 ≈ 2.45
  • 7: √7 ≈ 2.65
  • 8: √8 ≈ 2.83
  • 9: √9 = 3
  • 10: √10 ≈ 3.16
  • 11: √11 ≈ 3.32
  • 12: √12 ≈ 3.46
  • 13: √13 ≈ 3.61
  • 14: √14 ≈ 3.74
  • 15: √15 ≈ 3.87
  • 16: √16 = 4
  • 17: √17 ≈ 4.12
  • 18: √18 ≈ 4.24
  • 19: √19 ≈ 4.36
  • 20: √20 ≈ 4.47
  • 21: √21 ≈ 4.58
  • 22: √22 ≈ 4.69
  • 23: √23 ≈ 4.79
  • 24: √24 ≈ 4.89
  • 25: √25 = 5
  • 26: √26 ≈ 5.10
  • 27: √27 ≈ 5.20
  • 28: √28 ≈ 5.29
  • 29: √29 ≈ 5.39
  • 30: √30 ≈ 5.48
  • 31: √31 ≈ 5.57
  • 32: √32 ≈ 5.66
  • 33: √33 ≈ 5.74
  • 34: √34 ≈ 5.83
  • 35: √35 ≈ 5.92
  • 36: √36 = 6
  • 37: √37 ≈ 6.08
  • 38: √38 ≈ 6.16
  • 39: √39 ≈ 6.24
  • 40: √40 ≈ 6.32
  • 41: √41 ≈ 6.40
  • 42: √42 ≈ 6.48
  • 43: √43 ≈ 6.56
  • 44: √44 ≈ 6.63
  • 45: √45 ≈ 6.71
  • 46: √46 ≈ 6.78
  • 47: √47 ≈ 6.86
  • 48: √48 ≈ 6.93
  • 49: √49 = 7
  • 50: √50} ≈ 7.07

Notes:

  • Perfect squares (like 1, 4, 9, 16, 25, 36, 49) have whole number square roots.
  • The other square roots (like 2, 3, 5, etc.) are irrational numbers, meaning they cannot be expressed as a simple fraction.
  • The approximations can be found using methods like long division, a calculator, or numerical methods.

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