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Calculate the value
Answer
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$\frac{\sqrt{15}}{\sqrt{8}}\div \frac{\sqrt{5}}{2\sqrt{2}}\times(-\sqrt{30})$
$- 3 \sqrt{ 10 }$
Calculate the value
$\dfrac { \sqrt{ 15 } } { \sqrt{ 8 } } \div \dfrac { \sqrt{ 5 } } { 2 \sqrt{ 2 } } \times \left ( \color{#FF6800}{ - } \sqrt{ 30 } \right )$
$ $ Move the (-) sign forward $ $
$\color{#FF6800}{ - } \dfrac { \sqrt{ 15 } } { \sqrt{ 8 } } \div \dfrac { \sqrt{ 5 } } { 2 \sqrt{ 2 } } \times \sqrt{ 30 }$
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 15 } } { \sqrt{ 8 } } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 2 \sqrt{ 2 } } } \color{#FF6800}{ \times } \sqrt{ \color{#FF6800}{ 30 } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 15 } \left ( 2 \sqrt{ 2 } \right ) \sqrt{ 30 } } { \sqrt{ 8 } \sqrt{ 5 } } }$
$- \color{#FF6800}{ \dfrac { \sqrt{ 15 } \left ( 2 \sqrt{ 2 } \right ) \sqrt{ 30 } } { \sqrt{ 8 } \sqrt{ 5 } } }$
$ $ Calculate the expression $ $
$- \color{#FF6800}{ \dfrac { 12 \sqrt{ 10 } } { 4 } }$
$- \color{#FF6800}{ \dfrac { 12 \sqrt{ 10 } } { 4 } }$
$ $ Reduce the fraction $ $
$- \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } } \right )$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 10 } }$
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