Book: NCERT - Mathematics
Chapter: 6. Squares and Square Roots
Subject: Maths - Class 8th
Q. No. 2 of Exercises 6.1
Listen NCERT Audio Books - Kitabein Ab Bolengi
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
