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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!

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    You can use $\TeX$ on this site, enclosed in single dollar signs for inline formulas or in double dollar signs for displayed equations. The $\TeX$ command for square roots is `\sqrt`. The way you're writing the square roots makes them very hard to read.2012-07-17
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    Let's get the fraction straightened out too. Is it $\frac{x-1}{\sqrt{2x}+1-\sqrt[4]{x}}$ or $\frac{x-1}{\sqrt{2x}+1}-\sqrt[4]{x}$? Or is it something else.2012-07-17
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    x−12x√+1−x√4 sir something like that sir but the √x is inside of √2.2012-07-17
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    Ah,and is the $\sqrt[4]{x}$ outside or inside the denominator?2012-07-17
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    I think OP is saying that's $\sqrt{2\sqrt x}$ in the denominator, not $\sqrt2\sqrt x$.2012-07-17
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    @user12515: I had explained how to type it. It would help if you could explain what part of the explanation you didn't understand, instead of just throwing your hands up and saying that you don't know how to type it. Perhaps the missing part in the explanation was that you need to put curly braces around radicands consisting of more than one character? E.g. `\sqrt{2x}` produces $\sqrt{2x}$.2012-07-17
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    fourth root of x is separeted from square root of 2√x sir2012-07-17
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    @user12515 I believe the best thing for you would be try one of many [LaTeX equations editors available online](http://www.google.com/search?q=online+latex+equations+editor), for example [sciweavers](http://www.sciweavers.org/free-online-latex-equation-editor) or some of the editors mentioned [here](http://math.stackexchange.com/questions/146383/). If you find an editor which suits you, you can prepare your formula there by clicking on symbols you need, filling out the values etc. Once you gain some experience, you will be able to type math expressions without such tools.2012-07-17
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    For some basic information about writing math at this site see [here](http://meta.math.stackexchange.com/questions/1773/do-we-have-an-equation-editing-howto) or [here](http://math.stackexchange.com/editing-help#latex).2012-07-17

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