SQUARES AND AQUARE ROOT

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Squares
  • If a number is multiplied by itself, the product so obtained is called the square of that number, e.g. 2 square is 2*2= 4, 3 square is 3*3= 9, 12 square is 12*12=144 etc.
  • The square of a number is a number raised to the power of 2.
  • The square of an even number is always even, e.g. 16*16=256.
  • The square of an odd number is always odd, e.g. 19*19=361.
  • Perfect squares: A natural number is called perfect square or square number if it the square of some natural number, e.g. 25 is perfect square because 25 is the square of 5.
  • Perfect squares never ends in 2,3,7 or 8.
  • The number of zeroes at the end of a perfect square is always even, e.g. 400*400=160000, 50*50=2500 etc.
  • For any natural number n, n^2=n*n= sum of first n odd natural numbers, e.g. 5^2=5*5= 1+3+5+7+9=25.
Square roots
  • The square root of a number n is that number which when multiplied by itself gives n as the product, e.g. the square root of 25 is 5.
  • Symbol of square root is √  .
  • Hence √16=4, √25=5, √36=6 etc.

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