Question

Which of the following are squares of even numbers?

(i) 196

(ii) 441

(iii) 900

(iv) 625

(v) 324

Answer 1

(i) Given 196 We know that from the property of perfect square, the square of an even number is always even.So the given number 196 is even, therefore it is square of even number

(ii) Given 441 We know that from the property of perfect square, the square of an even number is always even.But the given number 441 is odd, therefore it is not a square of even number

(iii) Given 900 We know that from the property of perfect square, the square of an even number is always even.So the given number 900 is even, therefore it is square of even number

(iv) Given 625 We know that from the property of perfect square, the square of an even number is always even.But the given number 625 is odd, therefore it is not a square of even number

(v) Given 324 We know that from the property of perfect square, the square of an even number is always even.So the given number 324 is even, therefore it is square of even number