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Formula
Square root
Answer
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Find the approximate value
Answer
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$\sqrt{ 240 }$
$4 \sqrt{ 15 }$
Find the square root
$\sqrt{ \color{#FF6800}{ 240 } }$
$ $ Do a factorization in prime factors for the integral number inside the radical sign $ $
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } }$
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } \times 3 \times 5 }$
$ $ Separate the part that can be taken out of radical sign to different radical sign from the prime factor to the prime factor $ $
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } } \sqrt{ 3 \times 5 }$
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 4 } } } \sqrt{ 3 \times 5 }$
$ $ Get rid of the radical sign and change it to the denominator of the exponent $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ \frac { 4 } { 2 } } } \sqrt{ 3 \times 5 }$
$2 ^ { \color{#FF6800}{ \frac { 4 } { 2 } } } \sqrt{ 3 \times 5 }$
$ $ Reduce the fraction to the lowest term $ $
$2 ^ { \color{#FF6800}{ 2 } } \sqrt{ 3 \times 5 }$
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \sqrt{ 3 \times 5 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 4 } \sqrt{ 3 \times 5 }$
$4 \sqrt{ \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } }$
$ $ Multiply $ 3 $ and $ 5$
$4 \sqrt{ \color{#FF6800}{ 15 } }$
$\approx 15.4919$
Find the approximate value
$\sqrt{ \color{#FF6800}{ 240 } }$
$ $ Find the approximate value of the square root $ $
$\approx \color{#FF6800}{ 15.4919 }$
Solution search results
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$i.\dfrac {9} {16}$ $x$ $\dfrac {16} {9}=$ $C$ $a$ $\dfrac {240} {240}$ $or1$ $\dfrac {93} {33}or1$ 
$5$ $35$
1st-6th 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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