Question

The least number that must be multiplied to 252 to make it a perfect square is

____
​

Answer 1

Answer:

7

Step-by-step explanation:

252*7 = 1764

42*42 = 1764

Answer 2

Answer:

By prime factorisation we get,

252 = 2 x 2 x 3 x 3 x 7

explanation:

Here, 2 and 3 are in pairs but 7 needs a pair. Thus, 7 can become pair after multiplying 252 with 7.

So, 252 will become a perfect square when multiplied by 7.

Thus, Answer = 7

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