### Instruction: Rationalize the denominator of $\displaystyle\frac{33}{\sqrt{33}}$.### Response: To rationalize the denominator of a fraction, I need to multiply it by a clever form of 1 that eliminates any radicals from the bottom.
In this case, the radical in the denominator is $\sqrt{33}$, so I can multiply the fraction by $\displaystyle\frac{\sqrt{33}}{\sqrt{33}}$, which is just 1.
This gives me $\displaystyle\frac{33}{\sqrt{33}}\cdot\frac{\sqrt{33}}{\sqrt{33}}=\frac{33\sqrt{33}}{33}$.
Now I can simplify this fraction by canceling out the common factor of 33 in the numerator and denominator.