Question 210437
Multiply thet top and bottom by the given denominator.

The numerator becomes sqrt{2048a^10b^12}.

The denominator simply comes out of the radicand or 128a^6b^6.

We now need to simplify the numerator.

So, sqrt{2048a^10b^12} = sqrt{64}*sqrt{2}*sqrt{4}*a^5*b^3.

We need to continue breaking down the numerator.

Then sqrt{64}*sqrt{2}*sqrt{4}*a^5*b^3 = 16*a^5*b^3*sqrt{2}.

Our fraction now looks like this:

[16*a^5*b^3*sqrt{2}]/128a^6b^6

We now simplify the fraction a bit more to get:

sqrt{2}/8ab^3

Is this clear?