Question

find the cube root of 4.096 (cubic no.) by prime factorisation

Answer 1

Try this way - 4096/1000

Answer 2

$4.096 = \frac{4096}{1000 } \\ \sqrt[3]{ \frac{4096}{1000} } \\ = \sqrt[3]{ \frac{2 \times 2 \times 2 \times 2 \times \ 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}{2 \times 2 \times 2 \times 5 \times 5 \times 5} } \\ = \frac{16}{10} \\ =1 .6$