# Calculator search results

Formula
Calculate the value
$\left( \dfrac{ 2+ \sqrt{ 6 } }{ 3 } \right) ^{ 2 } + \left( \dfrac{ 2- \sqrt{ 6 } }{ 3 } \right) ^{ 2 }$
$\dfrac { 20 } { 9 }$
Calculate the value
$\left ( \color{#FF6800}{ \dfrac { 2 + \sqrt{ 6 } } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$\dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { 3 ^ { 2 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
 Calculate power 
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 10 } } { 3 ^ { 2 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
 Calculate power 
$\dfrac { 4 \sqrt{ 6 } + 10 } { \color{#FF6800}{ 9 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \left ( \color{#FF6800}{ \dfrac { 2 - \sqrt{ 6 } } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { 3 ^ { 2 } }$
 Calculate power 
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } } { 3 ^ { 2 } }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { 10 - 4 \sqrt{ 6 } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } }$
 Calculate power 
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { 10 - 4 \sqrt{ 6 } } { \color{#FF6800}{ 9 } }$
$\color{#FF6800}{ \dfrac { 4 \sqrt{ 6 } + 10 } { 9 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 10 - 4 \sqrt{ 6 } } { 9 } }$
 Combine the fraction with the same denominator 
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } } { 9 }$
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } + 10 + 10 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } } { 9 }$
 Eliminate opponent number 
$\dfrac { 10 + 10 } { 9 }$
$\dfrac { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 10 } } { 9 }$
 Add $10$ and $10$
$\dfrac { \color{#FF6800}{ 20 } } { 9 }$
Solution search results