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Answer
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$5 \sqrt{ 5 } + \left( 2 \sqrt{ 21 } - \sqrt{ 15 } \right) \div \sqrt{ 3 }$
$4 \sqrt{ 5 } + 2 \sqrt{ 7 }$
Calculate the value
$5 \sqrt{ 5 } + \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 21 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 15 } } \right ) \color{#FF6800}{ \div } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Present division as a fraction $ $
$5 \sqrt{ 5 } + \color{#FF6800}{ \dfrac { 2 \sqrt{ 21 } - \sqrt{ 15 } } { \sqrt{ 3 } } }$
$5 \sqrt{ 5 } + \color{#FF6800}{ \dfrac { 2 \sqrt{ 21 } - \sqrt{ 15 } } { \sqrt{ 3 } } }$
$ $ Calculate the expression $ $
$5 \sqrt{ 5 } + \color{#FF6800}{ \dfrac { 6 \sqrt{ 7 } - \left ( 3 \sqrt{ 5 } \right ) } { 3 } }$
$5 \sqrt{ 5 } + \dfrac { 6 \sqrt{ 7 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) } { 3 }$
$ $ Get rid of unnecessary parentheses $ $
$5 \sqrt{ 5 } + \dfrac { 6 \sqrt{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } } { 3 }$
$5 \sqrt{ 5 } + \color{#FF6800}{ \dfrac { 6 \sqrt{ 7 } - 3 \sqrt{ 5 } } { 3 } }$
$ $ Reduce the fraction $ $
$5 \sqrt{ 5 } + \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 7 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 5 } } + 2 \sqrt{ 7 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } + 2 \sqrt{ 7 }$
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