Find the smallest number by which 252 must be multiplied to get a perfect square. Also, find the square root of the perfect square so obtained.
Resolving 252 into prime factors, we get
252 = 2 × 2 × 3 × 3 × 7
Thus, the 253 must be multiplied by 7 in order to get a perfect square
Therefore,
New number = 252 × 7 = 1764
Hence,
= 2 × 3 × 7
= 42
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