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Square root
Answer
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Find the approximate value
Answer
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$\sqrt{ 80 }$
$4 \sqrt{ 5 }$
Find the square root
$\sqrt{ \color{#FF6800}{ 80 } }$
$ $ Do a factorization in prime factors for the integral number inside the radical sign $ $
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } }$
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times 5 }$
$ $ Separate the part that can be taken out of radical sign to different radical sign from the prime factor to the prime factor $ $
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } } \sqrt{ 5 }$
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } } \sqrt{ 5 }$
$ $ Get rid of the radical sign and change it to the denominator of the exponent $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ \frac { 4 } { 2 } } } \sqrt{ 5 }$
$2 ^ { \color{#FF6800}{ \frac { 4 } { 2 } } } \sqrt{ 5 }$
$ $ Reduce the fraction to the lowest term $ $
$2 ^ { \color{#FF6800}{ 2 } } \sqrt{ 5 }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \sqrt{ 5 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 4 } \sqrt{ 5 }$
$\approx 8.9443$
Find the approximate value
$\sqrt{ \color{#FF6800}{ 80 } }$
$ $ Find the approximate value of the square root $ $
$\approx \color{#FF6800}{ 8.9443 }$
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