Which option is correct for a number to be a perfect square: a)Perfect square number always end with 0,1,4,5,6,9 b)All numbers ending with 0,1,4,5,6,9 are perfect square. c)Perfect square numbers can also end with 2,3,7,8.
Answers
Step-by-step explanation:
To solve this question, first we have to know what is a perfect square?
Perfect square- A perfect square is a number that can be made by squaring a whole number.
Here are some properties are perfect square:
If a number has 1or9 in the units place then its square ends in 1.
If a number has 2or8 in the units place then its square ends in 4.
If a number has 3 or 7 in the units place then its square ends in 9.
When a number ends with zero, its square ends with double zeros.
If a number ends with an odd number of zeros then it is not a perfect square.
In perfect squares, the digits at the units place are always 0,1,4,5,9. The numbers having 2,3,8,7 are its end place are not perfect squares.
By the property (ii) it is clear that if we have 2,3,8,7 at the unit place then the number is not a perfect square.
So that we have only one option C that has a digit 8 and if 8 is at unit place then the given number is not a perfect number.