Question

Find the smallest number by which 252 must be mutiplied to make it a perfect square.

Answer 1

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Answer 2

Answer:

First of all, taking L.C.M of the given number 252 to achieve smallest number.

252 = 2*2*3*3*7

So after calculating the L.C.M of 252, we've noticed that 2 & 3 are in pairs and the number 7 is the only unpaired number. So multiplying the number 252 with 7, we'll get;

252*7 = 2*2*3*3*7*7

1764 = 2*2*3*3*7*7

which is a perfect square.

So the required number to make 252 a perfect square was 7.