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Calculate the value
Answer
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$- \sqrt{ 54 } - \sqrt{ 24 } + \sqrt{ 96 }$
$- \sqrt{ 6 }$
Calculate the value
$- \sqrt{ \color{#FF6800}{ 54 } } - \sqrt{ 24 } + \sqrt{ 96 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$- \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } \right ) - \sqrt{ 24 } + \sqrt{ 96 }$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } \right ) - \sqrt{ 24 } + \sqrt{ 96 }$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } - \sqrt{ 24 } + \sqrt{ 96 }$
$- 3 \sqrt{ 6 } - \sqrt{ \color{#FF6800}{ 24 } } + \sqrt{ 96 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$- 3 \sqrt{ 6 } - \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \right ) + \sqrt{ 96 }$
$- 3 \sqrt{ 6 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \right ) + \sqrt{ 96 }$
$ $ Get rid of unnecessary parentheses $ $
$- 3 \sqrt{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } + \sqrt{ 96 }$
$- 3 \sqrt{ 6 } - 2 \sqrt{ 6 } + \sqrt{ \color{#FF6800}{ 96 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$- 3 \sqrt{ 6 } - 2 \sqrt{ 6 } + \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ 6 }$
$ $ Multiplying any number by 1 does not change the value $ $
$- \sqrt{ 6 }$
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