I've been trying to simplify this expression for quite a long time but I just can't get to the result given in the book. The result in the book says that this expression should be simplified to (a*b; a>0, b>0, a not equal to b).
$$\left(\sqrt{ab}-\frac{ab}{a+\sqrt{ab}}\right)\cdot\left(\frac{\sqrt[4]{ab}-\sqrt[4]b}{a-b}\right)^{-1} \cdot\left(\frac{\sqrt[4]a+\sqrt[4]b}{\sqrt[4]{b^3}}\right)^{-1}$$
Can anyone help me with this task?
The expression does not simplify to ab. In order for that to happen, we must have $\sqrt b$ instead of $\sqrt[4]b$ in the second parenthesis, as it has already been pointed out by Michael in the comment section.