Maths: Square and Square Roots

1. A number is called a perfect square if it is expressed as the square of a number.
2. E.g. 1, 4, 9, 16, 25, … are called perfect squares (1×1 = 1, 2×2 = 4, 3 x 3 = 9…)

3. In square numbers, the digits at the unit’s place are always 0, 1, 4, 5, 6 or 9.
4. The numbers having 2, 3, 7 or 8 at its units’ place are not perfect square numbers

EXAMPLE: Which one of the following number is a perfect square:
a) 622
b) 393
c) 5778
d) 625
ANSWER: d

5. If a number ends with odd number of zeros then it is not a perfect square.

EXAMPLE: Check which of the following is a not a perfect square.
a) 81000
b) 8100
c) 900
d) 6250000
ANSWER: a


EXAMPLE: Which of the following perfect square numbers,is the square of an odd number?
 289, 400, 900, 1600
a) 289
b) 400
c) 900
d) 1600
ANSWER: a


EXAMPLE: Which of the following perfect square numbers,is the square of a even number?
 361, 625, 4096, 65536
a) 361
b) 625
c) 4096
d) 260
ANSWER: c

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