Question
What is the smallest natural number that must be multiplied
to 750 so that the resultant number is a perfect square?Solution
750 = 2 X 3 X 5 X 5 X 5
For a perfect square, each factor of the number must be in a pair.
For making pairs of 2, 3 and 5, we need one each of 2, 3 and 5.
So, required smallest number = 2 X 3 X 5 = 30
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