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Formula
Calculate the value
Answer
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$\dfrac{ \sqrt{ 2 } }{ \sqrt{ 3 } } - \dfrac{ \sqrt{ 3 } }{ \sqrt{ 2 } }$
$- \dfrac { \sqrt{ 6 } } { 6 }$
Calculate the value
$\color{#FF6800}{ \dfrac { \sqrt{ 2 } } { \sqrt{ 3 } } } - \dfrac { \sqrt{ 3 } } { \sqrt{ 2 } }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { \sqrt{ 6 } } { 3 } } - \dfrac { \sqrt{ 3 } } { \sqrt{ 2 } }$
$\dfrac { \sqrt{ 6 } } { 3 } - \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { \sqrt{ 2 } } }$
$ $ Calculate the expression $ $
$\dfrac { \sqrt{ 6 } } { 3 } - \color{#FF6800}{ \dfrac { \sqrt{ 6 } } { 2 } }$
$\color{#FF6800}{ \dfrac { \sqrt{ 6 } } { 3 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 6 } } { 2 } }$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 6 } - 3 \sqrt{ 6 } } { 6 } }$
$\dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } } { 6 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 6 } } } { 6 }$
$\dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ 6 } } { 6 }$
$ $ Multiplying any number by 1 does not change the value $ $
$\dfrac { - \sqrt{ 6 } } { 6 }$
$\dfrac { \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } } } { 6 }$
$ $ Move the minus sign to the front of the fraction $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 6 } } { 6 } }$
Solution search results
search-thumbnail-The rationalizing factor of \sqrt{23} is 
$°$ $Options^{°}$ $0$ 
A 24 
23 
C \sqrt{23} 
D None of these
7th-9th grade
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