Divide the number 8748 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient.

Asked by supradip202 | 16th Jul, 2017, 12:34: PM

Expert Answer:

begin mathsize 16px style 8748 equals 2 cross times 2 cross times bottom enclose 3 cross times 3 cross times 3 end enclose cross times bottom enclose 3 cross times 3 cross times 3 end enclose cross times 3
space Hence comma space 2 cross times 2 cross times 3 equals 12 space is space the space smallest space number space that space can space divided space 8748 comma space so space that space the space quotient
729 space is space straight a space perfect space cube.

Cube space root space of space 729 equals 9 end style

Answered by Rashmi Khot | 16th Jul, 2017, 07:51: PM