Find the smallest number by which 2925 must be divided to obtain a perfect square. Also, find the square root of the perfect square so obtained.
Resolving 2925 into prime factors, we get
2925 = 3 × 3 × 5 × 5 × 13
Thus, 13 is the smallest number by which 2925 must be divided in order to get a perfect square
Therefore,
New number = = 225
Hence,
= 3 × 5
= 15