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CBSE Class 8 Answered

Find the smallest number by which 250 can be multiplied  to get a perfect square.   
Asked by deepbairagi64 | 18 Aug, 2019, 08:43: PM
answered-by-expert Expert Answer
Prime factorisation of 250 is given by
 250 = 2 × 5 × 5 × 5 
 
For 250 to be a perfect square, the power of the prime factors to be even.
 
Hence, 250 should be multiplied with 2 × 5 to make it a perfect square.
 
Therefore the smallest number by which 250 can be multiplied  to get a perfect square is 10.
 

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