Question

find the smallest number by which 2028 must be multiplied so that it becomes a perfect square. find square root of the number so obtained​

Answer 1

HERE'S THE SOLUTION!

Thus, 2028 needs to be multiplied by 3 to become a perfect square. Therefore, the number 6084 has 3 pairs of equal prime factors . Hence, the smallest number by which 2028 must be multiplied so that the product is a perfect square is 7. And the square root of the new number is √6084=78

thankyou!

Answer 2

factorize it

2028 = 2 × 2 × 3 × 13 × 13

here 3 is only single and doesn't have other pair

so 3 is that smallest no.

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