Class 8 Chapter 3: Squares and Square Roots

Class 8 Chapter 3: Squares and Square Roots

Important Concepts and Formulas on Squares and Square Roots

1.      When a number is multiplied by itself, the product so obtained is called the square of that number.

2.      A number whose square root is a whole number is called a perfect square. For example 1, 4, 9, 16, 25, ... are perfect squares.

3.      Square numbers end in the digits 0, 1, 4, 5, 6 or 9.

4.      Square numbers do not end in the digits 2, 3, 7 or 8.

5.      The square of an even number is always even number and that of an odd number is always an odd number.

6.      If the sum of squares of two numbers is equal to the square of a third number then three numbers form a Pythagorean triplet.

7.      A square number cannot have odd number of zeros at the end.

8.      The square root of a number can be found by:

             a.      Repeated subtraction method
             b.      Prime factorization method
             c.       Long division method

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