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Formula
Calculate the value
Answer
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$\left( 2- \sqrt{ 3 } \right) ^{ 2 } -4 \left( 2- \sqrt{ 3 } \right) +4$
$3$
Calculate the value
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right ) ^ { \color{#FF6800}{ 2 } } - 4 \left ( 2 - \sqrt{ 3 } \right ) + 4$
$ $ Calculate power $ $
$\color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } - 4 \left ( 2 - \sqrt{ 3 } \right ) + 4$
$7 - 4 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right ) + 4$
$ $ Multiply each term in parentheses by $ - 4$
$7 - 4 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right ) + 4$
$7 - 4 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } - 4 \times \left ( - \sqrt{ 3 } \right ) + 4$
$ $ Multiply $ - 4 $ and $ 2$
$7 - 4 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } - 4 \times \left ( - \sqrt{ 3 } \right ) + 4$
$7 - 4 \sqrt{ 3 } - 8 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right ) + 4$
$ $ Simplify the expression $ $
$7 - 4 \sqrt{ 3 } - 8 + \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } + 4$
$7 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } - 8 \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } + 4$
$ $ Eliminate opponent number $ $
$7 - 8 + 4$
$\color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 4 }$
$ $ Calculate the sum or the difference $ $
$\color{#FF6800}{ 3 }$
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