 ## Book: NCERT - Mathematics

### Chapter: 6. Squares and Square Roots

#### Subject: Maths - Class 8th

##### Q. No. 2 of Exercises 6.1

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##### 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

(i) 1057 has its unit place digit as 7

Hence, it cannot be a perfect square

(ii) 23453 has its unit place digit as 3

Hence, it cannot be a perfect square

(iii) 7928 has its unit place digit as 8

Hence, it cannot be a perfect square

(iv) 222222 has its unit place digit as 2

Hence, it cannot be a perfect square

(v) 64000 has three zeros at the end of it. However, since a perfect square cannot end with odd number of zeroes, it is not a perfect square

(vi) 89722 has its unit place digit as 2

Hence, it cannot be a perfect square

(vii) 222000 has three zeroes at the end of it. And, we know that a perfect square cannot end with odd number of zeroes.

Hence, it is not a perfect square

(viii) 505050 has one zero at the end of it.

And we know that, a perfect square cannot end with odd number of zeroes,

Therefore, it is not a perfect square

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