Question

Is 3528 A perfect square? If not find the smallest number by which it must be multiplied so that the product becomes a perfect square

Answer 1

its not a perfect square.And the smallest no that should be multiplied by 3528 to make it a perfect square is 2.

Answer 2

Given: A number 3528

To find:  (i) Whether 3528 is a perfect square or not.

             (ii) If not, the smallest number by which it should be multiplied so   that the product becomes a perfect square

Solution: Given number is 3528

Using Prime Factorization, 3528 can be expressed as:

3528 = (2 × 2) × 2 × (3 × 3) × (7 × 7)

Since 2 is left unpaired, 3528 is not a perfect square.

To make 3528 a perfect square, it should be multiplied by 2.

Hence, the smallest number by which 3528 must be multiplied so that the product becomes a perfect square is 2.