Show that the following numbers are not perfect squares:

Question:

Show that the following numbers are not perfect squares:

(i) 9327

(ii) 4058

(iii) 22453

(iv) 743522

Solution:

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

(i) Its last digit is 7. Hence, 9327 is not a perfect square.

(ii) Its last digit is 8. Hence, 4058 is not a perfect square.

(iii) Its last digit is 3. Hence, 22453 is not a perfect square.

(iv) Its last digit is 2. Hence, 743522 is not a perfect square.

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