# How do you simplify radical expressions with fractions?

Generally, you don't want to have radical at the denominators. So, let's say that we want to simplify the expression $\setminus \frac{\setminus \sqrt{a}}{\setminus \sqrt{b}}$, where $a$ and $b$ can be any expression you want. Since, of course, $\setminus \frac{\setminus \sqrt{b}}{\setminus \sqrt{b}} = 1$, we can multiply it without changing the value of our expression, so we have $\setminus \frac{\setminus \sqrt{a}}{\setminus \sqrt{b}} = \setminus \frac{\setminus \sqrt{a}}{\setminus \sqrt{b}} \setminus \cdot \setminus \frac{\setminus \sqrt{b}}{\setminus \sqrt{b}}$. The advantage is that now we observe that $\setminus \sqrt{b} \setminus \cdot \setminus \sqrt{b} = b$, and so our expression becomes $\setminus \frac{\setminus}{\setminus \sqrt{a b}} \left\{b\right\}$, and we got rid of the radical at the denominator.