to answer on cube root we need to use the prime factorisation.
which means using only prime number and dividing the number by suitable prime number.
after find prime factorisation we know that cube root is 3th power of number.
so if we have same three number we need to take it as one because it is a cube root .
for example[tex] \sqrt[3]{5*5*5} =\sqrt[3]{5^3} =5. [/tex]