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Formula
Calculate the value
Answer
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$\sqrt{ 45 } + \sqrt{ 125 } - \sqrt{ 20 }$
$6 \sqrt{ 5 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 45 } } + \sqrt{ 125 } - \sqrt{ 20 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } + \sqrt{ 125 } - \sqrt{ 20 }$
$3 \sqrt{ 5 } + \sqrt{ \color{#FF6800}{ 125 } } - \sqrt{ 20 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$3 \sqrt{ 5 } + \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 5 } } - \sqrt{ 20 }$
$3 \sqrt{ 5 } + 5 \sqrt{ 5 } - \sqrt{ \color{#FF6800}{ 20 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$3 \sqrt{ 5 } + 5 \sqrt{ 5 } - \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \right )$
$3 \sqrt{ 5 } + 5 \sqrt{ 5 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$3 \sqrt{ 5 } + 5 \sqrt{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } }$
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } }$
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
Other
search-thumbnail-b) $-$ $2.015$ 
$2$ Simplify: $3\sqrt{45} +\sqrt{125} -\sqrt{200} -\sqrt{50} $ 
$3.$ $2$ $-$
7th-9th grade
Other
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