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Calculate the value
Answer
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$\dfrac{ \sqrt{ 15 } }{ \sqrt{ 12 } } \div \dfrac{ \sqrt{ 5 } }{ 2 \sqrt{ 3 } } \times \left( - \sqrt{ 32 } \right)$
$- 4 \sqrt{ 6 }$
Calculate the value
$\dfrac { \sqrt{ 15 } } { \sqrt{ 12 } } \div \dfrac { \sqrt{ 5 } } { 2 \sqrt{ 3 } } \times \left ( \color{#FF6800}{ - } \sqrt{ 32 } \right )$
$ $ Move the (-) sign forward $ $
$\color{#FF6800}{ - } \dfrac { \sqrt{ 15 } } { \sqrt{ 12 } } \div \dfrac { \sqrt{ 5 } } { 2 \sqrt{ 3 } } \times \sqrt{ 32 }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 15 } } { \sqrt{ 12 } } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 2 \sqrt{ 3 } } } \color{#FF6800}{ \times } \sqrt{ \color{#FF6800}{ 32 } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 15 } \left ( 2 \sqrt{ 3 } \right ) \sqrt{ 32 } } { \sqrt{ 12 } \sqrt{ 5 } } }$
$- \color{#FF6800}{ \dfrac { \sqrt{ 15 } \left ( 2 \sqrt{ 3 } \right ) \sqrt{ 32 } } { \sqrt{ 12 } \sqrt{ 5 } } }$
$ $ Calculate the expression $ $
$- \color{#FF6800}{ \dfrac { 24 \sqrt{ 10 } } { 2 \sqrt{ 15 } } }$
$- \color{#FF6800}{ \dfrac { 24 \sqrt{ 10 } } { 2 \sqrt{ 15 } } }$
$ $ Calculate the expression $ $
$- \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } \right )$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } }$
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