Make it a complete square

If you are given a task to make 48 a perfect square by multiplying it with a natural number, then what is the smallest number you need to complete your task?


The answer is 3.

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2 solutions

Roger Erisman
Aug 18, 2016

48 = 3 X 2 X 2 X 2 X 2 therefore, we need one more factor of 3 to make it a perfect square.

Viki Zeta
Aug 18, 2016

48 × 3 = 144 = 1 2 2 48 \times 3 = 144 = 12^2

Therefore the answer is 3

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