Find the smallest number by which the given number must be multiplied so that the product is perfect square (a) 12150
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Firstly we néed to find out the factors
5 | 12150
5 | 2430
5 | 486
3 | 162
3 | 54
3 | 18
3 | 6
3 | 2
2 | 2
| 1
Factors : 2*3*3*3*3*3*5*5*5
Make pairs of same factors
5*5 3*3 3*3
5*3*2 are not in pairs
To make the pairs we need to multiply by 5*3*2
I.e. 5*5 3*3 2*2
Hence the number is 5*3*2 = 30
Smallest number is 30
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