Question

3. The following numbers are obviously not perfect squares. Give reason.
(i) 4567
(ii) 2453
(iii) 6298
(iv) 46292
(v) 64000

Answer 1

Answer:

(i) 4567

   4567 is not a perfect square because it ends with 7. A number having 2,3,7 or 8 at unit's place is never a perfect square.

(ii) 2453

    2453 is not a perfect square because it ends with 3. A number having 2,3,7 or 8 at unit's place is never a perfect square.

(iii) 6298

     6298 is not a perfect square because it ends with 8. A number having 2,3,7 or 8 at unit's place is never a perfect square.

(iv) 46292

     46292 is not a perfect square because it ends with 2. A number having 2,3,7 or 8 at unit's place is never a perfect square.

(v) 64000

    64000 is not a perfect square because it ends with odd number of zeroes (here: 3 zeroes in 64000). A number ending with an odd number of zeros is never a perfect square.