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Is 9720 a perfect cube ? If not find the smallest number by which it should be divided to get a perfect cube​

 Oct 11, 2020
 #1
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it is not a perfect cube

I do not under stand the second part of your question....   divideng by .912847483    will make it a perfect cube of 22

    dividinb by  .07776   will make it a perfect cube of 50 

        etc etc   etc 

 Oct 11, 2020
 #2
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If by "find the smallest number", you mean "find the smallest integer", then:

 

9720 = 2^3 * 3^5 * 5 and the smallest integer =3^2 x 5 = 45

 

9720 / 45 =2^3 x 3^3 = 216 - which is a perfect cube of 6.

 Oct 11, 2020
 #3
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Is 9720 a perfect cube ? If not find the smallest number by which it should be divided to get a perfect cube​    

 

 

Are fractions eligible as "numbers"?  Divide 9720 by 0.00972 to get 1,000,000 which is 1003

 

There's no reason to stop there.  Just keep adding zeros between the decimal point and the 9. 

 

You never reach a smallest number. 

.

 Oct 11, 2020

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