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So hmm a conjugate, is pretty much just, the same binomial, but with a different sign in the middle, so, a + b, has a conjugate of a - b
or -a + b, has a conjugate of - a - b, or c - d, has a conjugate of c +d, and so on
anyway, the idea being, to "rationalize" the expression, namely, getting rid of the pesky radical in the denominator
so, we'll multiply the expression by 1, since anything times 1 is just itself
however, bear in mind, that 1, can be a/a, or b/b, or cheese/cheese, or anything/anything
so, we'll multiply the top and bottom of the fraction, by the conjugate of the denominator
anyhow, that said
or -a + b, has a conjugate of - a - b, or c - d, has a conjugate of c +d, and so on
anyway, the idea being, to "rationalize" the expression, namely, getting rid of the pesky radical in the denominator
so, we'll multiply the expression by 1, since anything times 1 is just itself
however, bear in mind, that 1, can be a/a, or b/b, or cheese/cheese, or anything/anything
so, we'll multiply the top and bottom of the fraction, by the conjugate of the denominator
anyhow, that said
The surface is parameterized by
and the normal to the surface is given by the cross product of the partial derivatives of :
It looks like you're given
Then the normal vector is
Now, the point (2, 2, 0) corresponds to u and v such that
and solving gives , so the normal vector at the point we care about is
Then the equation of the tangent plane is