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Formula
Calculate the value
Answer
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$\left( 7 \sqrt{ 5 } + \sqrt{ 2 } \right) \left( \sqrt{ 5 } -3 \sqrt{ 2 } \right)$
$29 - 20 \sqrt{ 10 }$
Calculate the value
$\left ( \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 2 } } \right ) \left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Expand using $ \left(a + b\right)\left(c + d\right) = ac + ad + bc + bd$
$\left ( \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$\left ( \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \sqrt{ \color{#FF6800}{ 5 } } + \left ( 7 \sqrt{ 5 } \right ) \times \left ( - 3 \sqrt{ 2 } \right ) + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \sqrt{ \color{#FF6800}{ 5 } } + \left ( 7 \sqrt{ 5 } \right ) \times \left ( - 3 \sqrt{ 2 } \right ) + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$\color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \sqrt{ \color{#FF6800}{ 5 } } + \left ( 7 \sqrt{ 5 } \right ) \times \left ( - 3 \sqrt{ 2 } \right ) + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 35 } + \left ( 7 \sqrt{ 5 } \right ) \times \left ( - 3 \sqrt{ 2 } \right ) + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$35 + \left ( \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$35 \color{#FF6800}{ - } \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$35 \color{#FF6800}{ - } \color{#FF6800}{ 7 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Simplify the expression $ $
$35 \color{#FF6800}{ - } \color{#FF6800}{ 21 } \sqrt{ \color{#FF6800}{ 10 } } + \sqrt{ 2 } \sqrt{ 5 } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$35 - 21 \sqrt{ 10 } + \sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 5 } } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Calculate multiplication of root $ $
$35 - 21 \sqrt{ 10 } + \sqrt{ \color{#FF6800}{ 10 } } + \sqrt{ 2 } \times \left ( - 3 \sqrt{ 2 } \right )$
$35 - 21 \sqrt{ 10 } + \sqrt{ 10 } + \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$35 - 21 \sqrt{ 10 } + \sqrt{ 10 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } }$
$35 - 21 \sqrt{ 10 } + \sqrt{ 10 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } }$
$ $ Simplify the expression $ $
$35 - 21 \sqrt{ 10 } + \sqrt{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 35 } - 21 \sqrt{ 10 } + \sqrt{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Subtract $ 6 $ from $ 35$
$\color{#FF6800}{ 29 } - 21 \sqrt{ 10 } + \sqrt{ 10 }$
$29 \color{#FF6800}{ - } \color{#FF6800}{ 21 } \sqrt{ \color{#FF6800}{ 10 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 10 } }$
$ $ Calculate between similar terms $ $
$29 \color{#FF6800}{ - } \color{#FF6800}{ 20 } \sqrt{ \color{#FF6800}{ 10 } }$
Solution search results
search-thumbnail-If the sum of two consecutive 
numbers is $45$ and one number is $X$ 
.This statement in the form of 
equation $1s:$ 
$\left(1$ Point) $\right)$ 
$○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ 
$○sx+1ef\left(x+2$ $r1gnt\right)=145s$ 
$sx+1x=45s$
7th-9th grade
Algebra
search-thumbnail-$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ 
$s1S$ 
$S-1S$ 
$s2S$ 
$s50s$
7th-9th grade
Other
search-thumbnail-Given the set of ordered pairs $\left(\left(-7.0\right),\left(-6,5\right),\left(-5,-3\right),\left(-1,2\right)$ $\left(1,6\right),\left(2,-2\right)$ $\left(5,3\right)\left(7,-8\right)\right)$ 
Find f(7)fAleft(7\right) 
O a 
O b -8 
6. 
$5$
7th-9th grade
Algebra
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