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Calculate the value
Answer
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$\dfrac{ 3 }{ \sqrt{ 5 } } - \sqrt{ 5 }$
$- \dfrac { 2 \sqrt{ 5 } } { 5 }$
Calculate the value
$\color{#FF6800}{ \dfrac { 3 } { \sqrt{ 5 } } } - \sqrt{ 5 }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } } { 5 } } - \sqrt{ 5 }$
$\dfrac { 3 \sqrt{ 5 } } { 5 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 5 } }$
$ $ Convert an equation to a fraction using $ a=\dfrac{a}{1}$
$\dfrac { 3 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { - \sqrt{ 5 } } { 1 } }$
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } } { 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { - \sqrt{ 5 } } { 1 } }$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - 5 \sqrt{ 5 } } { 5 } }$
$\dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
$\color{#FF6800}{ \dfrac { - 2 \sqrt{ 5 } } { 5 } }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 } }$
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