Question

Find out the smallest number we have to multiply with 252 to make it a square number. (PLEASE WRITE STEPS)

Answer 1

Step-by-step explanation:

First find the square root of 252.

[in square root, the factors are

paired.]

√252

= √(2*2)*(3*3)*7

=2*3*√7 [7 will be under root as it has no pair]

Therefore, 7 is the smallest number that should be multiplied with 252 to make it a perfect square number.

Now, for your convenience, I'm doing the following.:

So, the obtained number is = 252*7 = 1764

√1764 = √(2*2)*(3*3)*(7*7) = 2*3*7 = 42.

Therefore, 1764 is the perfect square number which we get when we multiply 252 by 7.

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