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

Solution:

The square of a number having 0, 1, 4, 5, 6 or 9 at its unit place is perfect squares. Also, the square of a number can only have an even number of zeros at the end.

In the above question unit digit of numbers (i) 1057   (ii) 23453   (iii) 7928   (iv) 222222   (v) 64000
(vi) 89722   (vii) 222000   (viii) 505050 are 7, 3, 8, 2, 000, 2, 000, 0 respectively.

So these numbers are obviously not perfect squares as they do not end with the digits 0, 1, 4, 5, 6 or 9 and also have odd number of zeros.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 6

Video Solution:

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

NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.1 Question 2

Summary:

The following numbers are obviously not perfect squares (i) 1057 (ii) 23453 (iii) 7928 (iv) 222222 (v) 64000 (vi) 89722 (vii) 222000 (viii) 505050 because they neither end with 0, 1, 4, 5, 6, 9 nor end with an even number of zeroes

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