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Formula
Calculate the value
Answer
$\dfrac{ \sqrt{ 7 } }{ 2 } + \sqrt{ 5 } + \dfrac{ \sqrt{ 7 } }{ 4 } - \dfrac{ 2 \sqrt{ 5 } }{ 3 }$
$\dfrac { 9 \sqrt{ 7 } + 4 \sqrt{ 5 } } { 12 }$
Calculate the value
$\color{#FF6800}{ \dfrac { \sqrt{ 7 } } { 2 } } + \sqrt{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \sqrt{ 7 } } { 4 } } - \dfrac { 2 \sqrt{ 5 } } { 3 }$
 Write all numerators above the least common denominator 
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 7 } + \sqrt{ 7 } } { 4 } } + \sqrt{ 5 } - \dfrac { 2 \sqrt{ 5 } } { 3 }$
$\dfrac { 2 \sqrt{ 7 } + \sqrt{ 7 } } { 4 } + \sqrt{ \color{#FF6800}{ 5 } } - \dfrac { 2 \sqrt{ 5 } } { 3 }$
 Convert an equation to a fraction using $a=\dfrac{a}{1}$
$\dfrac { 2 \sqrt{ 7 } + \sqrt{ 7 } } { 4 } + \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 1 } } - \dfrac { 2 \sqrt{ 5 } } { 3 }$
$\dfrac { 2 \sqrt{ 7 } + \sqrt{ 7 } } { 4 } + \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 1 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 3 } }$
 Write all numerators above the least common denominator 
$\dfrac { 2 \sqrt{ 7 } + \sqrt{ 7 } } { 4 } + \color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - 2 \sqrt{ 5 } } { 3 } }$
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 7 } + \sqrt{ 7 } } { 4 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - 2 \sqrt{ 5 } } { 3 } }$
 Find the sum of the fractions 
$\color{#FF6800}{ \dfrac { 6 \sqrt{ 7 } + 3 \sqrt{ 7 } + 12 \sqrt{ 5 } - 8 \sqrt{ 5 } } { 12 } }$
$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 7 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 7 } } + 12 \sqrt{ 5 } - 8 \sqrt{ 5 } } { 12 }$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ 9 } \sqrt{ \color{#FF6800}{ 7 } } + 12 \sqrt{ 5 } - 8 \sqrt{ 5 } } { 12 }$
$\dfrac { 9 \sqrt{ 7 } + \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \sqrt{ \color{#FF6800}{ 5 } } } { 12 }$
 Calculate between similar terms 
$\dfrac { 9 \sqrt{ 7 } + \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } } { 12 }$
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