2. The following numbers are obviously not perfect squares. Give reason.
6) 1057
(ii) 23453
(ii) 7928
(v) 2222

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2. The following numbers are obviously not perfect squares. Give reason.
6) 1057
(ii) 23453
(ii) 7928
(v) 222222
(v) 64000
(vi) 89722
(vii) 222000 (vi) 505050​

1 thought on “2. The following numbers are obviously not perfect squares. Give reason.<br />6) 1057<br />(ii) 23453<br />(ii) 7928<br />(v) 2222”

  1. Step-by-step explanation:

    Ncert solutions

    Grade 8

    Mathematics

    Science

    Chapters in NCERT Solutions – Mathematics , Class 8

    Exercises in Squares and Square Roots

    Question 2

    Q2) 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

    Solution

    Transcript

    Solution:

    (i) Since, perfect square numbers contain their unit’s place digit 1, 4, 5, 6, 9 and even numbers of 0. Therefore 1057 is not a perfect square because its unit’s place digit is 7.

    (ii) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 23453 is not a perfect square because its unit’s place digit is 3.

    (iii) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 7928 is not a perfect square because its unit’s place digit is 8.

    (iv) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 222222 is not a perfect square because its unit’s place digit is 2.

    (v) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 64000 is not a perfect square because its unit’s place digit is single 0.

    (vi) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 89722 is not a perfect square because its unit’s place digit is 2.

    (vii) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 222000 is not a perfect square because its unit’s place digit is triple 0.

    (viii) Since, perfect square numbers contain their unit’s place digit 0, 1, 4, 5, 6, 9 and even number of 0. Therefore 505050 is not a perfect square because its unit’s place digit is 0.

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