Hi Guest
ex. -7*sqrt3(x^2)+sqrt3(27x^2)+sqrt3(64x^2)
What you meant was
-7*The cube root of (X 2) + The cubed root of (27X 2) + The cube root of (64X 2)
Now, the cube root of something is a power of 1/3
so your question becomes
-7*(X 2) 1/3 + (27X 2) 1/3 + (64X 2) 1/3
= -7*(X 2) 1/3 + (27*X 2) 1/3 + (64*X 2) 1/3
for your next step or your next 2 steps depending on how quickly you decide to do it you need to use 2 indice properties.
I'll give you examples which you can use to answer your own question
(a*b) 6 = a 6 * b 6
and
(a m) n = a (m*n)
After you do this you will have 3 like terms (which are to be added)
When you add them you will get 0.
See if you can do the last bits by yourself. If you get stuck make sure you post again so that I, or someone else can help you some more.
Your inital post was very vague, it is lucky that our guest and the Professor, quizzed you about it. When you responded, you made it very clear what your question was.
And, that is why you now have an answer.
I am a university trained, fully qualified and experienced mathematic teacher (so that makes at least 2 of us who can answer your questions).
There are other people on this forum who are also very capable.
Melody.