kalaimarutha kalaimarutha
  • 15-02-2021
  • Mathematics
contestada

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

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drewaustin2003 drewaustin2003
  • 15-02-2021

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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katelynlaws
katelynlaws katelynlaws
  • 16-02-2021
The smallest whole number that can be multiplied by 300 so that the product is a perfect cube is 12 (I think)
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