Question:
Which of the following are squares of even numbers?
(i) 196
(ii) 441
(iii) 900
(iv) 625
(v) 324
Solution:
The square of an even number is always even.
Thus, even numbers in the given list of squares will be squares of even numbers.
(i) 196
This is an even number. Thus, it must be a square of an even number.
(ii) 441
This is an odd number. Thus, it is not a square of an even number.
(iii) 900
This is an even number. Thus, it must be a square of an even number.
(iv) 625
This is an odd number. Thus, it is not a square of an even number.
(v) 324
This is an even number. Thus, it is a square of an even number.