Question

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​

Answer 1

because perfect sqaures do not end with 2,3,7,8 and odd number of zero

Answer 2

We know that natural numbers ending in the digits 0,2,3,7 and 8 are not perfect squares.

(i) 1057 ⟶ ends with 7

(ii) 23453 ⟶ ends with

(iii) 7928 ⟶ ends with 8

(iv) 222222 ⟶ ends with 2

(v) 64000 ⟶ ends with 0 $\:$

(vi) 89722 ⟶ ends with 2

(vii) 222000 ⟶ ends with 0

(viii) 505050 ⟶ ends with 0

So,the following numbers are obviously not perfect square.