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Formula
Square root
Answer
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$\sqrt[3]{ 125 }$
$5$
Find the square root
$\sqrt[ 3 ]{ \color{#FF6800}{ 125 } }$
$ $ Do a factorization in prime factors for the integral number inside the radical sign $ $
$\sqrt[ 3 ]{ \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } }$
$\sqrt[ \color{#FF6800}{ 3 } ]{ \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 3 } } }$
$ $ Get rid of the radical sign and change it to the denominator of the exponent $ $
$\color{#FF6800}{ 5 } ^ { \color{#FF6800}{ \frac { 3 } { 3 } } }$
$5 ^ { \color{#FF6800}{ \frac { 3 } { 3 } } }$
$ $ Reduce the fraction to the lowest term $ $
$5 ^ { \color{#FF6800}{ 1 } }$
$5 ^ { \color{#FF6800}{ 1 } }$
$ $ If the exponent is 1, get rid of it as it is unnecessary $ $
$5$
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