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Answer
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$- \dfrac { 3 \sqrt{ 2 } } { 5 }$
Calculate the value
$\color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 90 } } \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 5 } } \right )$
$ $ Calculate the value that contains root $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 25 } } }$
$- \dfrac { \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } } { 25 }$
$ $ Get rid of unnecessary parentheses $ $
$- \dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } } \sqrt{ \color{#FF6800}{ 5 } } } { 25 }$
$- \dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } } \sqrt{ \color{#FF6800}{ 5 } } } { 25 }$
$ $ Simplify the expression $ $
$- \dfrac { \color{#FF6800}{ 15 } \sqrt{ \color{#FF6800}{ 2 } } } { 25 }$
$- \color{#FF6800}{ \dfrac { \color{#FF6800}{ 15 } \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 25 } } }$
$ $ Reduce the fraction $ $
$- \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 5 } } }$
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