1.

What is the smallest no.by which 539 should be multiplied, so that the product is a perfect square?

Answer»

Let's factorize 539 by LCM.


11 | 539

7 | 49

7 | 7

| 1


539 = 11 X


11 x 7² multiplied by 11 gives 11² x 7² = (11 x 7)² = 77².


∴ 11 is the smallest number by which 539 is multiplied to get a perfect square as the product.


539 x 11 = 5929 = 77²


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