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Formula
Calculate the value
$\dfrac{ \sqrt{ 50 } }{ 2 } -4 \sqrt{ 8 } - \dfrac{ 3 }{ \sqrt{ 2 } }$
$- 7 \sqrt{ 2 }$
Calculate the value
$\dfrac { \sqrt{ \color{#FF6800}{ 50 } } } { 2 } - 4 \sqrt{ 8 } - \dfrac { 3 } { \sqrt{ 2 } }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\dfrac { \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 } - 4 \sqrt{ 8 } - \dfrac { 3 } { \sqrt{ 2 } }$
$\dfrac { 5 \sqrt{ 2 } } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 8 } } - \dfrac { 3 } { \sqrt{ 2 } }$
 Simplify the expression 
$\dfrac { 5 \sqrt{ 2 } } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \sqrt{ \color{#FF6800}{ 2 } } - \dfrac { 3 } { \sqrt{ 2 } }$
$\dfrac { 5 \sqrt{ 2 } } { 2 } - 8 \sqrt{ 2 } - \color{#FF6800}{ \dfrac { 3 } { \sqrt{ 2 } } }$
 Calculate the expression 
$\dfrac { 5 \sqrt{ 2 } } { 2 } - 8 \sqrt{ 2 } - \color{#FF6800}{ \dfrac { 3 \sqrt{ 2 } } { 2 } }$
$\dfrac { 5 \sqrt{ 2 } } { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \sqrt{ \color{#FF6800}{ 2 } } - \dfrac { 3 \sqrt{ 2 } } { 2 }$
 Convert an equation to a fraction using $a=\dfrac{a}{1}$
$\dfrac { 5 \sqrt{ 2 } } { 2 } + \color{#FF6800}{ \dfrac { - 8 \sqrt{ 2 } } { 1 } } - \dfrac { 3 \sqrt{ 2 } } { 2 }$
$\color{#FF6800}{ \dfrac { 5 \sqrt{ 2 } } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { - 8 \sqrt{ 2 } } { 1 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 \sqrt{ 2 } } { 2 } }$
 Write all numerators above the least common denominator 
$\color{#FF6800}{ \dfrac { 5 \sqrt{ 2 } - 16 \sqrt{ 2 } - 3 \sqrt{ 2 } } { 2 } }$
$\dfrac { \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 }$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 14 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 }$
$\color{#FF6800}{ \dfrac { - 14 \sqrt{ 2 } } { 2 } }$
 Reduce the fraction 
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 2 } }$
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