Ummmmm, I guess I will just simplify???
\(z=\frac{{\sqrt{3}}^2-2{\sqrt{2}}^2}{\sqrt{3}-2\sqrt{2}}\)
Then simplify squared terms
\(z=\frac{3-2*2}{\sqrt{3}-2\sqrt{2}}\)
Simplify further
\(z=\frac{-1}{\sqrt{3}-2\sqrt{2}}\)
Now, lets see if \(\sqrt{3}-2\sqrt{2}\), the denominator, is larger than 1.
round sqrt(3) and sqrt(2) into, 1.7 and 1.4, respectively.
1.7 - 2(1.4) = -1.1
So we have \(z=\frac{-1}{-1.1}\)
\(\frac{1}{1.1}\)
The floor function of that is 0, so that should be the answer???