2.The following numbers are obviously not perfect squares. Give reason.

(i) 1057

(ii) 23453

(iii) 7928

(iv) 222222

(v) 64000

(vi) 89722

(vii) 222000

(viii) 505050

Answers (1)

We know that only the numbers that end with 0, 1, 4, 5, 6 or 9 at units place can be perfectly square numbers. 

Also, a perfectly square number has a number of zeros in multiple of 2.

Since these numbers have either odd no. of zeros or their unit place is 2, 3, 7, 8 thus they are not perfectly square numbers.

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