Question

Show me how to find the cube root of 13824 by estimation

Answer 1

$\sqrt[3]{13824}$

prime factorization

$2|13824| \\ 2 \ |6912| \\ 2|3456| \\ 2|1728| \\ 2|864| \\ 2 |432| \\ 6|216| \\ 6 |36| \\ 6$

$6 |216| \\ 6 |36| \\ 6$

take the three pair of each one

$2 \times 2 \times 6 = 24$