find the smallest no. by which 17496 must be divided so that the quotient is a perfect cube also find cuberoot
Answers
Answered by
38
hii mate !!
The number should be divided by 3 to get a perfect cube the cube root of obtained number will be 18.
hope it helps !!
☺☺☺
The number should be divided by 3 to get a perfect cube the cube root of obtained number will be 18.
hope it helps !!
☺☺☺
Answered by
41
17,496=3*3*3*3*3*3*3*2*2*2
Now, in order to be a perfect a number its index power must be divisible by 3
Hence,
17,486=3^7*2^3
Clearly, the requirec number to divide 17,496 is 3 to make it a perfect cube
So,quotient=3^6*2^3
Cube root of the quotient =3*3*3=18 Ans.
Now, in order to be a perfect a number its index power must be divisible by 3
Hence,
17,486=3^7*2^3
Clearly, the requirec number to divide 17,496 is 3 to make it a perfect cube
So,quotient=3^6*2^3
Cube root of the quotient =3*3*3=18 Ans.
Similar questions