Calculator search results

Formula
Square root
Answer
circle-check-icon
expand-arrow-icon
expand-arrow-icon
expand-arrow-icon
Find the approximate value
Answer
circle-check-icon
$\sqrt{ 396 }$
$6 \sqrt{ 11 }$
Find the square root
$\sqrt{ \color{#FF6800}{ 396 } }$
$ $ Do a factorization in prime factors for the integral number inside the radical sign $ $
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 11 } }$
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \times 11 }$
$ $ Separate the part that can be taken out of radical sign to different radical sign from the prime factor to the prime factor $ $
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } } \sqrt{ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } \sqrt{ 11 }$
$\sqrt{ \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ 2 } } } \sqrt{ 3 ^ { 2 } } \sqrt{ 11 }$
$ $ Get rid of the radical sign and change it to the denominator of the exponent $ $
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ \frac { 2 } { 2 } } } \sqrt{ 3 ^ { 2 } } \sqrt{ 11 }$
$2 ^ { \frac { 2 } { 2 } } \sqrt{ \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } } \sqrt{ 11 }$
$ $ Get rid of the radical sign and change it to the denominator of the exponent $ $
$2 ^ { \frac { 2 } { 2 } } \times \color{#FF6800}{ 3 } ^ { \color{#FF6800}{ \frac { 2 } { 2 } } } \sqrt{ 11 }$
$2 ^ { \color{#FF6800}{ \frac { 2 } { 2 } } } \times 3 ^ { \frac { 2 } { 2 } } \sqrt{ 11 }$
$ $ Reduce the fraction to the lowest term $ $
$2 ^ { \color{#FF6800}{ 1 } } \times 3 ^ { \frac { 2 } { 2 } } \sqrt{ 11 }$
$2 ^ { 1 } \times 3 ^ { \color{#FF6800}{ \frac { 2 } { 2 } } } \sqrt{ 11 }$
$ $ Reduce the fraction to the lowest term $ $
$2 ^ { 1 } \times 3 ^ { \color{#FF6800}{ 1 } } \sqrt{ 11 }$
$2 ^ { \color{#FF6800}{ 1 } } \times 3 ^ { 1 } \sqrt{ 11 }$
$ $ If the exponent is 1, get rid of it as it is unnecessary $ $
$2 \times 3 ^ { 1 } \sqrt{ 11 }$
$2 \times 3 ^ { \color{#FF6800}{ 1 } } \sqrt{ 11 }$
$ $ If the exponent is 1, get rid of it as it is unnecessary $ $
$2 \times 3 \sqrt{ 11 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 11 } }$
$ $ Simplify the expression $ $
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 11 } }$
$\approx 19.8997$
Find the approximate value
$\sqrt{ \color{#FF6800}{ 396 } }$
$ $ Find the approximate value of the square root $ $
$\approx \color{#FF6800}{ 19.8997 }$
Solution search results
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
Have you found the solution you wanted?
Try again
Try more features at QANDA!
Search by problem image
Ask 1:1 question to TOP class teachers
AI recommend problems and video lecture
apple logogoogle play logo