Question

How do you simplify `3root4(128)`?

Answer 1

`=6root4(2^3)`

Explanation:

When you are working with roots, write the radicand as the product of prime factors. That way you know what you are working with.

`3root(4)(128) = 3 root4 (2^7)`

Write as `4th` powers if possible:

`3 root4 (2^7) = 3 root4 (2^4 xx 2^3)`

Now find any roots possible:

`=3xx2root4(2^3)`

`=6root4(2^3)`