The following numbers are not perfect squares.

Question:

The following numbers are not perfect squares. Give reason.

(i) 1547

(ii) 45743

(iii) 8948

(iv) 333333

Solution:

A number ending with 2, 3, 7 or 8 cannot be a perfect square.

(i) Its last digit is 7. Hence, 1547 cannot be a perfect square.

(ii) Its last digit is 3. Hence, 45743 cannot be a perfect square.

(iii) Its last digit is 8. Hence, 8948 cannot be a perfect square.

(iv) Its last digit is 3. Hence, 333333 cannot be a perfect square.

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