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Formula
Calculate the value
$\dfrac{ \sqrt{ 28 } }{ 3 } - \dfrac{ \sqrt{ 56 } }{ 3 } - \dfrac{ \sqrt{ 7 } }{ 2 } + \dfrac{ \sqrt{ 14 } }{ 4 }$
$\dfrac { 2 \sqrt{ 7 } - 5 \sqrt{ 14 } } { 12 }$
Calculate the value
$\dfrac { \sqrt{ \color{#FF6800}{ 28 } } } { 3 } - \dfrac { \sqrt{ 56 } } { 3 } - \dfrac { \sqrt{ 7 } } { 2 } + \dfrac { \sqrt{ 14 } } { 4 }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 7 } } } { 3 } - \dfrac { \sqrt{ 56 } } { 3 } - \dfrac { \sqrt{ 7 } } { 2 } + \dfrac { \sqrt{ 14 } } { 4 }$
$\dfrac { 2 \sqrt{ 7 } } { 3 } - \dfrac { \sqrt{ \color{#FF6800}{ 56 } } } { 3 } - \dfrac { \sqrt{ 7 } } { 2 } + \dfrac { \sqrt{ 14 } } { 4 }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\dfrac { 2 \sqrt{ 7 } } { 3 } - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 14 } } } { 3 } - \dfrac { \sqrt{ 7 } } { 2 } + \dfrac { \sqrt{ 14 } } { 4 }$
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 7 } } { 3 } } - \dfrac { 2 \sqrt{ 14 } } { 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 7 } } { 2 } } + \dfrac { \sqrt{ 14 } } { 4 }$
 Write all numerators above the least common denominator 
$\color{#FF6800}{ \dfrac { 4 \sqrt{ 7 } - 3 \sqrt{ 7 } } { 6 } } - \dfrac { 2 \sqrt{ 14 } } { 3 } + \dfrac { \sqrt{ 14 } } { 4 }$
$\dfrac { 4 \sqrt{ 7 } - 3 \sqrt{ 7 } } { 6 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 \sqrt{ 14 } } { 3 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \sqrt{ 14 } } { 4 } }$
 Write all numerators above the least common denominator 
$\dfrac { 4 \sqrt{ 7 } - 3 \sqrt{ 7 } } { 6 } + \color{#FF6800}{ \dfrac { - 8 \sqrt{ 14 } + 3 \sqrt{ 14 } } { 12 } }$
$\color{#FF6800}{ \dfrac { 4 \sqrt{ 7 } - 3 \sqrt{ 7 } } { 6 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { - 8 \sqrt{ 14 } + 3 \sqrt{ 14 } } { 12 } }$
 Find the sum of the fractions 
$\color{#FF6800}{ \dfrac { 8 \sqrt{ 7 } - 6 \sqrt{ 7 } - 8 \sqrt{ 14 } + 3 \sqrt{ 14 } } { 12 } }$
$\dfrac { \color{#FF6800}{ 8 } \sqrt{ \color{#FF6800}{ 7 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 7 } } - 8 \sqrt{ 14 } + 3 \sqrt{ 14 } } { 12 }$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 7 } } - 8 \sqrt{ 14 } + 3 \sqrt{ 14 } } { 12 }$
$\dfrac { 2 \sqrt{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \sqrt{ \color{#FF6800}{ 14 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 14 } } } { 12 }$
 Calculate between similar terms 
$\dfrac { 2 \sqrt{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 14 } } } { 12 }$
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