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Formula
Calculate the value
Answer
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$\left( \sqrt{ 5 } +1 \right) ^{ 2 } -2 \left( \sqrt{ 5 } +1 \right) +1$
$5$
Calculate the value
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } } - 2 \left ( \sqrt{ 5 } + 1 \right ) + 1$
$ $ Calculate power $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } + \color{#FF6800}{ 6 } - 2 \left ( \sqrt{ 5 } + 1 \right ) + 1$
$2 \sqrt{ 5 } + 6 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) + 1$
$ $ Multiply each term in parentheses by $ - 2$
$2 \sqrt{ 5 } + 6 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } + 1$
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } + 6 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } - \color{#FF6800}{ 2 } + 1$
$ $ Eliminate opponent number $ $
$6 - 2 + 1$
$\color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Calculate the sum or the difference $ $
$\color{#FF6800}{ 5 }$
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