For my exercise, I have been asked to rationalize and simplify this surd;
$$\frac{x-1}{\sqrt{2\sqrt{x}} + 1 - \sqrt[4]{x}}$$
I don't know how to type it. The denominator is square root of 2 with square root of x after that is + 1 - fourth root of x.]
Each time I do this I get the wrong answer. The method I am using is;
1133√−7×33√−733√−7
I'm confused with the $\sqrt{2}$,where $\sqrt{x}$ is inside the $\sqrt{2}$ and $1$ separated from $\sqrt{2}$ and $\sqrt{x}$. Sorry if I can't really elaborate it correctly.
This ends up nowhere near the right answer, even once it is simplified, can someone tell me where i'm going wrong?
Many thanks!
\sqrt
. The way you're writing the square roots makes them very hard to read. $\endgroup$\sqrt{2x}
produces $\sqrt{2x}$. $\endgroup$