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Formula
Calculate the value
$\dfrac{ 3+ \sqrt{ 3 } }{ 3 } - \dfrac{ 3- \sqrt{ 3 } }{ 3 }$
$\dfrac { 2 \sqrt{ 3 } } { 3 }$
Calculate the value
$\color{#FF6800}{ \dfrac { 3 + \sqrt{ 3 } } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 - \sqrt{ 3 } } { 3 } }$
 Combine the fraction with the same denominator 
$\dfrac { \color{#FF6800}{ 3 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right ) } { 3 }$
$\dfrac { 3 + \sqrt{ 3 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right ) } { 3 }$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$\dfrac { 3 + \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } + \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$\dfrac { \color{#FF6800}{ 3 } + \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } + \sqrt{ 3 } } { 3 }$
 Remove the two numbers if the values are the same and the signs are different 
$\dfrac { \sqrt{ 3 } + \sqrt{ 3 } } { 3 }$
$\dfrac { \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
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