Indices Equation

Hi, I'm unsure how to proceed witht the following question...


x^2/3 + (3*root3)x^1/3 - 30 = 0

So I think multiple all three terms to a power of 3 to rid the fractional powers?

x^2 + (3*root3)x - 27000 = 0


Is this correct so far?
I'm thinking (3*root3) needs to be cubed aswell? If so how?

Then following this, what would be the next stage?



Thanks for any help in the right direction..

$\left( x^{1/3} \right)^2 + 3 \sqrt{3}(x^{1/3})-30=0$

Cubing everything is not a valid step.

Ok i understand you cant cube everything.

Im here so far!

(x^1/3 + ) (x^1/3 - )

how do you work out what adds to = 3*root3 and multiplies to = 30?

Thanks