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Formula
Calculate the value
$\left( 3+ \sqrt{ 5 } \right) ^{ 2 } -6 \left( 3+ \sqrt{ 5 } \right) +10$
$6$
Calculate the value
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - 6 \left ( 3 + \sqrt{ 5 } \right ) + 10$
 Calculate power 
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } + \color{#FF6800}{ 14 } - 6 \left ( 3 + \sqrt{ 5 } \right ) + 10$
$6 \sqrt{ 5 } + 14 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 5 } } \right ) + 10$
 Multiply each term in parentheses by $- 6$
$6 \sqrt{ 5 } + 14 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } + 10$
$6 \sqrt{ 5 } + 14 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } - 6 \sqrt{ 5 } + 10$
 Multiply $- 6$ and $3$
$6 \sqrt{ 5 } + 14 \color{#FF6800}{ - } \color{#FF6800}{ 18 } - 6 \sqrt{ 5 } + 10$
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } + 14 - 18 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } + 10$
 Eliminate opponent number 
$14 - 18 + 10$
$\color{#FF6800}{ 14 } \color{#FF6800}{ - } \color{#FF6800}{ 18 } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
 Calculate the sum or the difference 
$\color{#FF6800}{ 6 }$
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