Question

divide the number 5184 by the smallest numberso that the is a perfect cube.Also find the cube root of the quotient​

Answer 1

Step-by-step explanation:

$5184 = 2 \times 2592 \\ = 2 \times 2 \times 1296 \\ = 2 \times 2 \times 2 \times 648 \\ = (2 \times 2 \times 2) \times 2 \times 324 \\ = (2 \times 2 \times 2) \times 2 \times 2 \times 162 \\ = (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times 81 \\ = (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times (3 \times 3 \times 3) \times 3$

Hence the least number by which it needs to be divided is 3

Cuberoot of resultant number is 12