Question

How do you simplify `4root3(135)`?

Answer 1

See the solution process below:

Explanation:

We can use this rule for radicals to rewrite the expression:

`root(n)(a * b) = root(n)(a) * root(n)(b)`

`4root(3)(135) = 4root(3)(27 * 5) = 4root(3)(27)root(3)(5)`

We can now simplify `root(3)(27) = 3` to write:

`4root(3)(27)root(3)(5) = (4 * 3)root(3)(5) = 12root(3)(5)`