Square roots of perfect squares

  • A perfect square is a number that can be expressed as the product of an integer with itself.
  • Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, etc.

  • The square root of a number is the value that, when multiplied by itself, gives the original number.
  • The square root symbol is √.
  • For example, √9 = 3, because 3 × 3 = 9.

  • The square root of a perfect square is always an integer.
  • For example:
    • √16 = 4 because 4 × 4 = 16
    • √64 = 8 because 8 × 8 = 64

  • List the perfect squares up to 100: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
  • Take the square root of these numbers:
    • √1 = 1, √4 = 2, √9 = 3, √16 = 4, √25 = 5, and so on.

  • The square root of a number can be found using the square root function (√x), where ‘x’ is the number whose square root you need to find.
  • The square root of any positive perfect square is always a non-negative integer.

  • √49 = 7 (because 7 × 7 = 49)
  • √36 = 6 (because 6 × 6 = 36)
  • √100 = 10 (because 10 × 10 = 100)

  • The square root of any non-perfect square is irrational (e.g., √2, √3).
  • The square root of 0 is 0: √0 = 0.
  • Negative numbers do not have real square roots.

Let’s try some problems!✍️