How to simplify $(a^2+ab+b^2)/(a+\sqrt{ab}+b)$ How can I simplify as much as possible:
$$\frac{a^2+ab+b^2}{a+\sqrt{ab}+b}$$
Also, first post here, looking forward to sticking around!

$$\frac{a^2 + ab + b^2}{a + \sqrt{ab} + b}= \frac{(a^3-b^3)/(a-b)}{(a^{3/2} -b^{3/2})/(a^{1/2} - b^{1/2}) } =\frac{a^{3/2} + b^{3/2}}{a^{1/2} + b^{1/2}}=a-\sqrt{ab} + b$$
