Finding the square root $\sqrt{4-2\sqrt{3}}$ How do you solve this: 
$$X^2=4-2\sqrt{3}$$
I don't really know how to solve for $X$. I initially got $X=\sqrt{4-2\sqrt{3}}$ but I don't know how to simplify it.

$\sqrt{4-2\sqrt{3}}$ is a solution.  So too is $-\sqrt{4-2\sqrt{3}}$
These particular expressions can be simplified (others not): 


*

*the $2\sqrt{3}$ might suggest something of the form  $ (y-\sqrt{3})^2=4-2\sqrt{3}$ where $y=x+\sqrt{3}$

*so solve $y^2-2y\sqrt{3}-1+2\sqrt{3} = 0$ 

*giving $y=1$ or $y=2\sqrt{3}-1$, 

*leading to $x=1-\sqrt{3}$ or $x=\sqrt{3}-1$
