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$\dfrac { 6 \sqrt{ 10 } } { 5 }$
Calculate the value
$\dfrac { \sqrt{ 10 } } { 5 } + \sqrt{ \color{#FF6800}{ 10 } }$
$ $ Convert an equation to a fraction using $ a=\dfrac{a}{1}$
$\dfrac { \sqrt{ 10 } } { 5 } + \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 1 } } }$
$\color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 5 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 1 } } }$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 10 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 5 } } }$
$\dfrac { \sqrt{ \color{#FF6800}{ 10 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 10 } } } { 5 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 10 } } } { 5 }$
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