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

Question

1182 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-29T19:44:47

#=6root4(2^3)#

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)#