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x-sqrt((4-sqrt(3)/3))=0 equation

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Numerical solution:

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The solution

You have entered [src]
         ___________    
        /       ___     
       /      \/ 3      
x -   /   4 - -----  = 0
    \/          3       
$$x - \sqrt{- \frac{\sqrt{3}}{3} + 4} = 0$$
Detail solution
Given the linear equation:
x-sqrt((4-sqrt(3)/3)) = 0

Expand brackets in the left part
x-sqrt4/3-sqrt/3+3/3)) = 0

Divide both parts of the equation by (x - sqrt(4 - sqrt(3)/3))/x
x = 0 / ((x - sqrt(4 - sqrt(3)/3))/x)

We get the answer: x = sqrt(36 - 3*sqrt(3))/3
The graph
Rapid solution [src]
        ______________
       /          ___ 
     \/  36 - 3*\/ 3  
x1 = -----------------
             3        
$$x_{1} = \frac{\sqrt{36 - 3 \sqrt{3}}}{3}$$
x1 = sqrt(36 - 3*sqrt(3))/3
Sum and product of roots [src]
sum
   ______________
  /          ___ 
\/  36 - 3*\/ 3  
-----------------
        3        
$$\frac{\sqrt{36 - 3 \sqrt{3}}}{3}$$
=
   ______________
  /          ___ 
\/  36 - 3*\/ 3  
-----------------
        3        
$$\frac{\sqrt{36 - 3 \sqrt{3}}}{3}$$
product
   ______________
  /          ___ 
\/  36 - 3*\/ 3  
-----------------
        3        
$$\frac{\sqrt{36 - 3 \sqrt{3}}}{3}$$
=
   ______________
  /          ___ 
\/  36 - 3*\/ 3  
-----------------
        3        
$$\frac{\sqrt{36 - 3 \sqrt{3}}}{3}$$
sqrt(36 - 3*sqrt(3))/3
Numerical answer [src]
x1 = 1.85004046734399
x1 = 1.85004046734399