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

Guest Oct 11, 2020

#1**+1 **

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

ElectricPavlov Oct 11, 2020

#2**0 **

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.

Guest Oct 11, 2020

#3**0 **

*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 100^{3}.

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

You never reach a smallest number.

_{.}

Guest Oct 11, 2020