find the smallest number which when multiplied with 3600 will make the product a perfect cube also find the cube root of the product
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Step-by-step explanation:
3600=3×3×2×2×2×2×5×5
=3
2
×2
4
×5
2
A perfect cube has multiples of 3 as powers of factors.
i.e. the number has to be multiplied by 3×2×2×5=60 to make it a perfect cube.
The new number =3600×60=216000
⇒
3
216000
=60
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