5. By what smallest number should 3600 be multiplied so that the product is a perfect cube. Also
find the cube root of the the number obtained. please explain it
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60 because as we mutiply 60 by3600 we get 216000. We can write 3600 as 36*100 now first we have to make 36 as perfect cube and we know 36 is square of 6 so we multiplied 6 to make it cube and similarly 100 is square of 10 so we multiplied 10 to 100 which will get 1000 which is a perfect cube now by taking cube root of 216*1000 we get a perfect cube root
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