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Calculate the value
Answer
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$\sqrt{ 3 } \left( \sqrt{ 6 } +1 \right) - \sqrt{ 2 } \left( 3+ \sqrt{ 3 } \right)$
$\sqrt{ 3 } - \sqrt{ 6 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 3 } } \left ( \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) - \sqrt{ 2 } \left ( 3 + \sqrt{ 3 } \right )$
$ $ Multiply each term in parentheses by $ \sqrt{ 3 }$
$\sqrt{ \color{#FF6800}{ 3 } } \sqrt{ \color{#FF6800}{ 6 } } + \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } - \sqrt{ 2 } \left ( 3 + \sqrt{ 3 } \right )$
$\sqrt{ \color{#FF6800}{ 3 } } \sqrt{ \color{#FF6800}{ 6 } } + \sqrt{ 3 } \times 1 - \sqrt{ 2 } \left ( 3 + \sqrt{ 3 } \right )$
$ $ Calculate multiplication of root $ $
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 3 } \times 1 - \sqrt{ 2 } \left ( 3 + \sqrt{ 3 } \right )$
$3 \sqrt{ 2 } + \sqrt{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } - \sqrt{ 2 } \left ( 3 + \sqrt{ 3 } \right )$
$ $ Multiplying any number by 1 does not change the value $ $
$3 \sqrt{ 2 } + \sqrt{ 3 } - \sqrt{ 2 } \left ( 3 + \sqrt{ 3 } \right )$
$3 \sqrt{ 2 } + \sqrt{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$ $ Multiply each term in parentheses by $ - \sqrt{ 2 }$
$3 \sqrt{ 2 } + \sqrt{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 3 } }$
$3 \sqrt{ 2 } + \sqrt{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } - \sqrt{ 2 } \sqrt{ 3 }$
$ $ Simplify the expression $ $
$3 \sqrt{ 2 } + \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 2 } \sqrt{ 3 }$
$3 \sqrt{ 2 } + \sqrt{ 3 } - 3 \sqrt{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate multiplication $ $
$3 \sqrt{ 2 } + \sqrt{ 3 } - 3 \sqrt{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } }$
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 6 }$
$ $ Eliminate opponent number $ $
$\sqrt{ 3 } - \sqrt{ 6 }$
Solution search results
search-thumbnail-$\dfrac {1} {6}$ $\left(\dfrac {3} {2}\right)^{\dfrac {1} {10}}\times \left(\dfrac {2} {3}\longdiv{6}-\sqrt{\left(\dfrac {3} {2}\longdiv{}1} $ $\times \left(\dfrac {2} {3}\longdiv{}$
7th-9th grade
Algebra
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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