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Formula
Calculate the value
Answer
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$\left( \dfrac{ 2+ \sqrt{ 6 } }{ 3 } \right) ^{ 2 } + \left( \dfrac{ 2- \sqrt{ 6 } }{ 3 } \right) ^{ 2 }$
$\dfrac { 20 } { 9 }$
Calculate the value
$\left ( \color{#FF6800}{ \dfrac { 2 + \sqrt{ 6 } } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$\dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { 3 ^ { 2 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$ $ Calculate power $ $
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 10 } } { 3 ^ { 2 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$ $ Calculate power $ $
$\dfrac { 4 \sqrt{ 6 } + 10 } { \color{#FF6800}{ 9 } } + \left ( \dfrac { 2 - \sqrt{ 6 } } { 3 } \right ) ^ { 2 }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \left ( \color{#FF6800}{ \dfrac { 2 - \sqrt{ 6 } } { 3 } } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ When raising a fraction to the power, raise the numerator and denominator each to the power $ $
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } } { 3 ^ { 2 } }$
$ $ Calculate power $ $
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } } { 3 ^ { 2 } }$
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { 10 - 4 \sqrt{ 6 } } { \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } }$
$ $ Calculate power $ $
$\dfrac { 4 \sqrt{ 6 } + 10 } { 9 } + \dfrac { 10 - 4 \sqrt{ 6 } } { \color{#FF6800}{ 9 } }$
$\color{#FF6800}{ \dfrac { 4 \sqrt{ 6 } + 10 } { 9 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 10 - 4 \sqrt{ 6 } } { 9 } }$
$ $ Combine the fraction with the same denominator $ $
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } } { 9 }$
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } + 10 + 10 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 6 } } } { 9 }$
$ $ Eliminate opponent number $ $
$\dfrac { 10 + 10 } { 9 }$
$\dfrac { \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 10 } } { 9 }$
$ $ Add $ 10 $ and $ 10$
$\dfrac { \color{#FF6800}{ 20 } } { 9 }$
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-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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