Number System

Sujoy Das

09/03/2019 0 0

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

Solution :

252 = 2 \times 2 \times 3 \times 3 \times 7

We observe that 2 and 3 are grouped in pairs and the 7 is left un paired.

If we multiply

252

by the factor 7 then

252 \times 7 = 2 \times 2 \times 3 \times 3 \times 7 \times 7

1764 = 2 \times \times \times 3 \times 3 \times 7 \times 7

Which is a perfect square.

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