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Formula
Square root
Answer
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Find the approximate value
Answer
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$\sqrt[3]{ 54 }$
$3 \sqrt[ 3 ]{ 2 }$
Find the square root
$\sqrt[ 3 ]{ \color{#FF6800}{ 54 } }$
$ $ Do a factorization in prime factors for the integral number inside the radical sign $ $
$\sqrt[ 3 ]{ \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 3 } } }$
$\sqrt[ 3 ]{ \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 3 } } }$
$ $ Separate the part that can be taken out from the radical sign and the part that cannot be taken out $ $
$\sqrt[ 3 ]{ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } }$
$\sqrt[ 3 ]{ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 3 } } \times 2 }$
$ $ Separate the part that can be taken out of radical sign to different radical sign from the prime factor to the prime factor $ $
$\sqrt[ \color{#FF6800}{ 3 } ]{ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 3 } } } \sqrt[ \color{#FF6800}{ 3 } ]{ 2 }$
$\sqrt[ \color{#FF6800}{ 3 } ]{ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 3 } } } \sqrt[ 3 ]{ 2 }$
$ $ Get rid of the radical sign and change it to the denominator of the exponent $ $
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ \frac { 3 } { 3 } } } \sqrt[ 3 ]{ 2 }$
$3 ^ { \color{#FF6800}{ \frac { 3 } { 3 } } } \sqrt[ 3 ]{ 2 }$
$ $ Reduce the fraction to the lowest term $ $
$3 ^ { \color{#FF6800}{ 1 } } \sqrt[ 3 ]{ 2 }$
$3 ^ { \color{#FF6800}{ 1 } } \sqrt[ 3 ]{ 2 }$
$ $ If the exponent is 1, get rid of it as it is unnecessary $ $
$3 \sqrt[ 3 ]{ 2 }$
$\approx 3.7798$
Find the approximate value
$\sqrt[ \color{#FF6800}{ 3 } ]{ \color{#FF6800}{ 54 } }$
$ $ Find the approximate value of the square root $ $
$\approx \color{#FF6800}{ 3.7798 }$
Solution search results
search-thumbnail-Simplify $\dfrac {\sqrt [3] {54} } {\bar{16} }$
7th-9th grade
Other
search-thumbnail-$\left(22\right)^{-\dfrac {1} {2}}$ $\times $ $\sqrt [3] {54} $
10th-13th grade
Other
search-thumbnail-$\sqrt [4] {24} -6\sqrt{96} $ $+\sqrt [3] {54} $
7th-9th grade
Algebra
search-thumbnail-$2$ $\sqrt [3] {54} $ $x$ $g$ 
$\div $ $\sqrt [3] {2} $
7th-9th grade
Other
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