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Question

Find the smallest positive integer with which one has to multiply 450 to get a perfect square.

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Solution

The given number is 450
But, 450=5×5×3×3×2=52×32×2
Here, 2 occur only once.
So, to get a perfect square we need to multiply by 2
Thus, we have to multiply by 450 by 2 to get a perfect square.

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