Question

2. The following numbers are not square numbers, Give reason :
(i) 324000
(ii) 79622
(iii) 84000! ​

Answer 1

None of these are a square number.

Step-by-step explanation:

(i) A number end with odd number of zeros can not be a perfect square.

Because, if it contains odd numbers of zeros then its prime factors 2 and 5 have odd powers, and the powers of prime factors in a square number is always even.

Thus, 324000 can not be square number.

(ii) A number end with a prime number except 5 can not be a perfect square.

Thus, 79622 can not be a square number.

(iii) The factorial of a number can not be a perfect square number.

Thus, 84000! ​can not be a square number.