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N76 [4]
3 years ago
7

What is the smallest whole number that can be multiplied by 300 such that the product is a perfect cube?

Mathematics
2 answers:
kicyunya [14]3 years ago
7 0
The smallest whole number that can be multiplied by 300 so that the product is a perfect cube is 12 (I think)
Neko [114]3 years ago
5 0

300=2×2×5×5×3

We observe that 2 and 5 are grouped in pairs and the 3 is left unpaired.

If we multiply 300 by the factor 3 then  

300×3=2×2×5×5×3×3

900=2×2×5×5×3×3 which is a perfect square.

∴ Required number is 3

root of 900  =30

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