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Formula
Calculate the value
Answer
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$\sqrt{ 108 } - \dfrac{ \sqrt{ 60 } }{ 3 \sqrt{ 2 } } \div \dfrac{ 1 }{ \sqrt{ 3 } } \times \sqrt{ \dfrac{ 6 }{ 5 } }$
$4 \sqrt{ 3 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 108 } } - \dfrac { \sqrt{ 60 } } { 3 \sqrt{ 2 } } \div \dfrac { 1 } { \sqrt{ 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } - \dfrac { \sqrt{ 60 } } { 3 \sqrt{ 2 } } \div \dfrac { 1 } { \sqrt{ 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { \sqrt{ 60 } } { 3 \sqrt{ 2 } } } \div \dfrac { 1 } { \sqrt{ 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$ $ Calculate the expression $ $
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 2 \sqrt{ 30 } } { 6 } } \div \dfrac { 1 } { \sqrt{ 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 2 \sqrt{ 30 } } { 6 } } \div \dfrac { 1 } { \sqrt{ 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$ $ Reduce the fraction $ $
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { \sqrt{ 30 } } { 3 } } \div \dfrac { 1 } { \sqrt{ 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$6 \sqrt{ 3 } - \dfrac { \sqrt{ 30 } } { 3 } \div \color{#FF6800}{ \dfrac { 1 } { \sqrt{ 3 } } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$ $ Calculate the expression $ $
$6 \sqrt{ 3 } - \dfrac { \sqrt{ 30 } } { 3 } \div \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 3 } } \times \sqrt{ \dfrac { 6 } { 5 } }$
$6 \sqrt{ 3 } - \dfrac { \sqrt{ 30 } } { 3 } \div \dfrac { \sqrt{ 3 } } { 3 } \times \sqrt{ \color{#FF6800}{ \dfrac { 6 } { 5 } } }$
$ $ Calculate the expression $ $
$6 \sqrt{ 3 } - \dfrac { \sqrt{ 30 } } { 3 } \div \dfrac { \sqrt{ 3 } } { 3 } \times \color{#FF6800}{ \dfrac { \sqrt{ 30 } } { 5 } }$
$6 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 30 } } { 3 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \sqrt{ 30 } } { 5 } }$
$ $ Arrange the terms multiplied by fractions $ $
$6 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 30 } \times 3 \sqrt{ 30 } } { 3 \sqrt{ 3 } \times 5 } }$
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { \sqrt{ 30 } \times 3 \sqrt{ 30 } } { 3 \sqrt{ 3 } \times 5 } }$
$ $ Reduce the fraction $ $
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { \sqrt{ 30 } \sqrt{ 30 } } { \sqrt{ 3 } \times 5 } }$
$6 \sqrt{ 3 } - \dfrac { \sqrt{ \color{#FF6800}{ 30 } } \sqrt{ 30 } } { \sqrt{ 3 } \times 5 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ \color{#FF6800}{ 30 } } \right ) ^ { \color{#FF6800}{ 1 } } \sqrt{ 30 } } { \sqrt{ 3 } \times 5 }$
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ 30 } \right ) ^ { 1 } \sqrt{ \color{#FF6800}{ 30 } } } { \sqrt{ 3 } \times 5 }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ 30 } \right ) ^ { 1 } \left ( \sqrt{ \color{#FF6800}{ 30 } } \right ) ^ { \color{#FF6800}{ 1 } } } { \sqrt{ 3 } \times 5 }$
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ \color{#FF6800}{ 30 } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \sqrt{ \color{#FF6800}{ 30 } } \right ) ^ { \color{#FF6800}{ 1 } } } { \sqrt{ 3 } \times 5 }$
$ $ Add the exponent as the base is the same $ $
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ \color{#FF6800}{ 30 } } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } } { \sqrt{ 3 } \times 5 }$
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ 30 } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } } { \sqrt{ 3 } \times 5 }$
$ $ Add $ 1 $ and $ 1$
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ 30 } \right ) ^ { \color{#FF6800}{ 2 } } } { \sqrt{ 3 } \times 5 }$
$6 \sqrt{ 3 } - \dfrac { \left ( \sqrt{ \color{#FF6800}{ 30 } } \right ) ^ { \color{#FF6800}{ 2 } } } { \sqrt{ 3 } \times 5 }$
$ $ If you square the radical sign, it will disappear $ $
$6 \sqrt{ 3 } - \dfrac { \color{#FF6800}{ 30 } } { \sqrt{ 3 } \times 5 }$
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 30 } { \sqrt{ 3 } \times 5 } }$
$ $ Reduce the fraction $ $
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 6 } { \sqrt{ 3 } } }$
$6 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 6 } { \sqrt{ 3 } } }$
$ $ Calculate the expression $ $
$6 \sqrt{ 3 } - \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$6 \sqrt{ 3 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$6 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } }$
Solution search results
search-thumbnail-Question $4$ 
If $x$ is $6$ what $|s$ 
$\dfrac {1} {3}x$ 
$1frac\left(1\right)\left(3\right)x$
1st-6th grade
Other
search-thumbnail-Which of the following rational numbers are 
equivalent? 
$0Ptionsy$ 
A \frac{5}{6}, \frac{30}{36} 
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ 
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ 
D \frac{1}{2},\frac{3}{8}
7th-9th grade
Other
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