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Formula
Calculate the value
Answer
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$\sqrt{ 45 } - \sqrt{ 8 } + \sqrt{ 20 } - \sqrt{ 32 }$
$5 \sqrt{ 5 } - 6 \sqrt{ 2 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 45 } } - \sqrt{ 8 } + \sqrt{ 20 } - \sqrt{ 32 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } - \sqrt{ 8 } + \sqrt{ 20 } - \sqrt{ 32 }$
$3 \sqrt{ 5 } - \sqrt{ \color{#FF6800}{ 8 } } + \sqrt{ 20 } - \sqrt{ 32 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$3 \sqrt{ 5 } - \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right ) + \sqrt{ 20 } - \sqrt{ 32 }$
$3 \sqrt{ 5 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right ) + \sqrt{ 20 } - \sqrt{ 32 }$
$ $ Get rid of unnecessary parentheses $ $
$3 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 20 } - \sqrt{ 32 }$
$3 \sqrt{ 5 } - 2 \sqrt{ 2 } + \sqrt{ \color{#FF6800}{ 20 } } - \sqrt{ 32 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$3 \sqrt{ 5 } - 2 \sqrt{ 2 } + \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } - \sqrt{ 32 }$
$3 \sqrt{ 5 } - 2 \sqrt{ 2 } + 2 \sqrt{ 5 } - \sqrt{ \color{#FF6800}{ 32 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$3 \sqrt{ 5 } - 2 \sqrt{ 2 } + 2 \sqrt{ 5 } - \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$3 \sqrt{ 5 } - 2 \sqrt{ 2 } + 2 \sqrt{ 5 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$3 \sqrt{ 5 } - 2 \sqrt{ 2 } + 2 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } - 2 \sqrt{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } - 4 \sqrt{ 2 }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 5 } } - 2 \sqrt{ 2 } - 4 \sqrt{ 2 }$
$5 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } }$
$ $ Calculate between similar terms $ $
$5 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } }$
Solution search results
search-thumbnail-E $0$ $m+n$ 
$01$ 

$①$ $5\sqrt{7} -\dfrac {21} {\sqrt{7} }=\sqrt{7} $ 
$②$ $\sqrt{32} +\sqrt{18} -\sqrt{72} =2\sqrt{2} $ 
$③$ $③$ $\sqrt{20} -\sqrt{45} -\sqrt{80} =-5\sqrt{5} $ 
$④$ $\sqrt{12} -\sqrt{27} +\sqrt{48} =-3\sqrt{3} $ 
$\sqrt{18} -\dfrac {3} {\sqrt{2} }+\sqrt{32} =\dfrac {10\sqrt{2} } {2}$ 
$⑤$ $\sqrt{18} -$
10th-13th grade
Other
search-thumbnail-The rationalizing factor of \sqrt{23} is 
$°$ $Options^{°}$ $0$ 
A 24 
23 
C \sqrt{23} 
D None of these
7th-9th grade
Other
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