# NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.1 Part 2

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Question: 2 The following numbers are obviously not perfect squares. Give reasons.

(i) 1057

(ii) 23453

(iii) 7928

(iv) 222222

(v) 64000

(vi) 89722

(vii) 222000

(viii) 505050

Perfect square numbers contain their unit’s place digit 1, 4, 5, 6, 9 and even numbers of 0.

(i) 1057 is not a perfect square because its unit’s place digit is 7.

(ii) 23453 is not a perfect square because its unit’s place digit is 3.

(iii) 7928 is not a perfect square because its unit’s place digit is 8.

(iv) 222222 is not a perfect square because its unit’s place digit is 2.

(v) 64000 is not a perfect square because its unit’s place digit is odd number 0.

(vi) 89722 is not a perfect square because its unit’s place digit is 2.

(vii) 222000 is not a perfect square because its unit’s place digit is odd number 0.

(viii) 505050 is not a perfect square because its unit’s place digit is odd number 0.

Question: 3 The squares of which of the following would be odd number:

(i) 431

(ii) 2826

(iii) 7779

(iv) 82004

Here, the squares of the any numbers unit digit are the squares of the unit’s place digit of given number.

(i) 431 – Unit’s digit of given number is 1 and square of 1 is 1. Therefore, square of 431 would be an odd number.

(ii) 2826 – Unit’s digit of given number is 6 and square of 6 is 36. Therefore,

square of 2826 would not be an odd number.

(iii) 7779 – Unit’s digit of given number is 9 and square of 9 is 81. Therefore, square of 7779 would be an odd number.

(iv) 82004 – Unit’s digit of given number is 4 and square of 4 is 16. Therefore, square of 82004 would not be an odd number.

Question: 4 Observe the following pattern and find the missing digits: