Question

how is prime a fractorzation of a helpfu when simplifying a squre root and a cube root?

Answer 1

Prime factorization can be helpful when symplifying roots because we can divide the number in factors for which we know the value of the root.

Also, if we have 2 times the same factor in a square root or 3 times the same factor in a cubic root, we can take them outside of the root and simplify it.

Let's do an example:

$\sqrt[3]{64}$

64 can be express