Question

Find the smallest number which when multiplied with 3600 will make the product cube. Further, find the cube root of the product.

Answer 1

hi there! here us ur answer
3600= 2×2×3×3×2×2×5×5
the smallest number that should be multiplied with 3600 to get perfect cube is 60.
∛(216000) = 60
I hope it helps
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Answer 2

prime factories of 3600=3²*2⁴*5²
so 3*2*2*5
=60


now 60 cube is 60*60*60
= 216000.
so √21600=60