Question

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

Answer 1

Let's factorize 539 by LCM.

11 | 539

7 | 49

7 | 7

| 1

539 = 11 x 7²

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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Answer 2

Answer:

11

Step-by-step explanation: