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Formula
Calculate the value
$\left( 2 \sqrt{ 2 } + \sqrt{ 5 } \right) \left( 2 \sqrt{ 2 } - \sqrt{ 5 } \right) -1$
$2$
Calculate the value
$\left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 5 } } \right ) \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } } \right ) - 1$
 Expand the expression using $\left(a - b\right)\left(a + b\right) = a^{2} - b^{2}$
$\left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - 1$
$\left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
 Solve the power 
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \left ( \sqrt{ \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \left ( \sqrt{ 2 } \right ) ^ { 2 } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
 Calculate power 
$\color{#FF6800}{ 4 } \left ( \sqrt{ 2 } \right ) ^ { 2 } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
$4 \left ( \sqrt{ \color{#FF6800}{ 2 } } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
 If you square the radical sign, it will disappear 
$4 \times \color{#FF6800}{ 2 } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
$\color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
 Multiply $4$ and $2$
$\color{#FF6800}{ 8 } - \left ( \sqrt{ 5 } \right ) ^ { 2 } - 1$
$8 - \left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - 1$
 If you square the radical sign, it will disappear 
$8 - \color{#FF6800}{ 5 } - 1$
$\color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
 Calculate the sum or the difference 
$\color{#FF6800}{ 2 }$
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