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Calculate the value
$\dfrac{ \sqrt{ 15 } - \sqrt{ 3 } }{ \sqrt{ 3 } } - \dfrac{ \sqrt{ 175 } +2 \sqrt{ 35 } }{ \sqrt{ 7 } }$
$- \sqrt{ 5 } - 6$
Calculate the value
$\color{#FF6800}{ \dfrac { \sqrt{ 15 } - \sqrt{ 3 } } { \sqrt{ 3 } } } - \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } }$
 Calculate the expression 
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - \left ( \sqrt{ 3 } \right ) ^ { 2 } } { 3 } } - \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } }$
$\dfrac { 3 \sqrt{ 5 } - \left ( \sqrt{ \color{#FF6800}{ 3 } } \right ) ^ { \color{#FF6800}{ 2 } } } { 3 } - \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } }$
 If you square the radical sign, it will disappear 
$\dfrac { 3 \sqrt{ 5 } - \color{#FF6800}{ 3 } } { 3 } - \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } }$
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 5 } - 3 } { 3 } } - \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } }$
 Reduce the fraction 
$\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } - \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } }$
$\sqrt{ 5 } - 1 - \color{#FF6800}{ \dfrac { \sqrt{ 175 } + 2 \sqrt{ 35 } } { \sqrt{ 7 } } }$
 Calculate the expression 
$\sqrt{ 5 } - 1 - \color{#FF6800}{ \dfrac { 35 + 14 \sqrt{ 5 } } { 7 } }$
$\sqrt{ 5 } - 1 - \color{#FF6800}{ \dfrac { 35 + 14 \sqrt{ 5 } } { 7 } }$
 Reduce the fraction 
$\sqrt{ 5 } - 1 - \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \right )$
$\sqrt{ 5 } - 1 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$\sqrt{ 5 } - 1 \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } }$
$\sqrt{ \color{#FF6800}{ 5 } } - 1 - 5 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } }$
 Calculate between similar terms 
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 5 } } - 1 - 5$
$- 1 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
 Find the sum of the negative numbers 
$- 1 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ 5 } - 6$
 Multiplying any number by 1 does not change the value 
$- \sqrt{ 5 } - 6$
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