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2 years ago

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]2 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]2 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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