SOLUTION: i think i know how to simplify radicals as in the square root of 80 simplify is 4 times the square root of 5. that i can do but this problem is confusing me and i don't know

Algebra ->  Radicals -> SOLUTION: i think i know how to simplify radicals as in the square root of 80 simplify is 4 times the square root of 5. that i can do but this problem is confusing me and i don't know       Log On


   

Question 129529This question is from textbook introductory and intermediate algebra
: i think i know how to simplify radicals as in the square root of 80 simplify is 4 times the square root of 5. that i can do
but this problem is confusing me and i don't know why. (i think i'm just having a "brainfart")

the problem:
simplify the cubed root of 54

thanks for any help!!!
angela This question is from textbook introductory and intermediate algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the cube root of 54
The trick is to find the factors that
are in the form x%2Ax%2Ax%2Ay+=+54 if you can't
find x%2Ax%2Ax+=+54. Just playing around with it,
I found 3%2A3%2A3%2A2+=+54. All of this is under
the cube-root sign, so you can bring 3 out
3%2A%282%29%5E%281%2F3%29, or 3 times the cube root of 2.