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$\dfrac{ 3 \sqrt{ 5 } }{ 5 } + \dfrac{ 4 }{ \sqrt{ 3 } } - \dfrac{ 10 \sqrt{ 3 } }{ 3 } - \dfrac{ 7 }{ \sqrt{ 5 } }$
$\dfrac { - 4 \sqrt{ 5 } - 10 \sqrt{ 3 } } { 5 }$
Calculate the value
$\dfrac { 3 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { 4 } { \sqrt{ 3 } } } - \dfrac { 10 \sqrt{ 3 } } { 3 } - \dfrac { 7 } { \sqrt{ 5 } }$
$ $ Calculate the expression $ $
$\dfrac { 3 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { 4 \sqrt{ 3 } } { 3 } } - \dfrac { 10 \sqrt{ 3 } } { 3 } - \dfrac { 7 } { \sqrt{ 5 } }$
$\dfrac { 3 \sqrt{ 5 } } { 5 } + \dfrac { 4 \sqrt{ 3 } } { 3 } - \dfrac { 10 \sqrt{ 3 } } { 3 } - \color{#FF6800}{ \dfrac { 7 } { \sqrt{ 5 } } }$
$ $ Calculate the expression $ $
$\dfrac { 3 \sqrt{ 5 } } { 5 } + \dfrac { 4 \sqrt{ 3 } } { 3 } - \dfrac { 10 \sqrt{ 3 } } { 3 } - \color{#FF6800}{ \dfrac { 7 \sqrt{ 5 } } { 5 } }$
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } } { 5 } } + \dfrac { 4 \sqrt{ 3 } } { 3 } - \dfrac { 10 \sqrt{ 3 } } { 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 7 \sqrt{ 5 } } { 5 } }$
$ $ Since the denominator is the same as $ 5 $ , combine the fractions into one $ $
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - \left ( 7 \sqrt{ 5 } \right ) } { 5 } } + \dfrac { 4 \sqrt{ 3 } } { 3 } - \dfrac { 10 \sqrt{ 3 } } { 3 }$
$\dfrac { 3 \sqrt{ 5 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \right ) } { 5 } + \dfrac { 4 \sqrt{ 3 } } { 3 } - \dfrac { 10 \sqrt{ 3 } } { 3 }$
$ $ Get rid of unnecessary parentheses $ $
$\dfrac { 3 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } } { 5 } + \dfrac { 4 \sqrt{ 3 } } { 3 } - \dfrac { 10 \sqrt{ 3 } } { 3 }$
$\dfrac { 3 \sqrt{ 5 } - 7 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { 4 \sqrt{ 3 } } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 10 \sqrt{ 3 } } { 3 } }$
$ $ Since the denominator is the same as $ 3 $ , combine the fractions into one $ $
$\dfrac { 3 \sqrt{ 5 } - 7 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { 4 \sqrt{ 3 } - \left ( 10 \sqrt{ 3 } \right ) } { 3 } }$
$\dfrac { 3 \sqrt{ 5 } - 7 \sqrt{ 5 } } { 5 } + \dfrac { 4 \sqrt{ 3 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 10 } \sqrt{ \color{#FF6800}{ 3 } } \right ) } { 3 }$
$ $ Get rid of unnecessary parentheses $ $
$\dfrac { 3 \sqrt{ 5 } - 7 \sqrt{ 5 } } { 5 } + \dfrac { 4 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - 7 \sqrt{ 5 } } { 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 \sqrt{ 3 } - 10 \sqrt{ 3 } } { 3 } }$
$ $ Find the sum of the fractions $ $
$\color{#FF6800}{ \dfrac { 9 \sqrt{ 5 } - 21 \sqrt{ 5 } + 20 \sqrt{ 3 } - 50 \sqrt{ 3 } } { 15 } }$
$\dfrac { \color{#FF6800}{ 9 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 21 } \sqrt{ \color{#FF6800}{ 5 } } + 20 \sqrt{ 3 } - 50 \sqrt{ 3 } } { 15 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 5 } } + 20 \sqrt{ 3 } - 50 \sqrt{ 3 } } { 15 }$
$\dfrac { - 12 \sqrt{ 5 } + \color{#FF6800}{ 20 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 50 } \sqrt{ \color{#FF6800}{ 3 } } } { 15 }$
$ $ Calculate between similar terms $ $
$\dfrac { - 12 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 30 } \sqrt{ \color{#FF6800}{ 3 } } } { 15 }$
$\color{#FF6800}{ \dfrac { - 12 \sqrt{ 5 } - 30 \sqrt{ 3 } } { 15 } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ \dfrac { - 4 \sqrt{ 5 } - 10 \sqrt{ 3 } } { 5 } }$
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