Simplify √18a^3b^5 A - 18ab√ab B - 2ab^2√3ab C - 3a^2b^3√2 D - 3ab^2√2ab
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For the coefficients to be rational, any complex roots must occur in conjugate pairs. So if 
is a root, then so must be 
.
Now such a third degree polynomial might be
The only variation to this would be multiplying throughout by some non-zero constant. This doesn't change the roots.
Now such a third degree polynomial might be
The only variation to this would be multiplying throughout by some non-zero constant. This doesn't change the roots.