B = sqrt(X) returnsthe square root of each element of the array X.For the facets of X that are an adverse or complex, sqrt(X) producescomplex results.

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The sqrt function’s domain includesnegative and complicated numbers, which have the right to lead to unexpected resultsif used unintentionally. For an unfavorable and facility numbers z= u + i*w, the complex square root sqrt(z) returns

sqrt(r)*(cos(phi/2) + 1i*sin(phi/2))

where r = abs(z) is the radius and phi= angle(z) is the phase angle on the closeup of the door interval -pi.

If you want an adverse and facility numbers come return error messagesrather 보다 return complicated results, usage realsqrt instead.

## Examples

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### Square root of Vector aspects

Open Live Script

Create a row vector comprise both an adverse and confident values.

X = -2:2

X = *1×5* -2 -1 0 1 2

Compute the square root of each element of X.

Y = sqrt(X)

Y = *1×5 complex* 0.0000 + 1.4142i 0.0000 + 1.0000i 0.0000 + 0.0000i 1.0000 + 0.0000i 1.4142 + 0.0000i

## Input Arguments

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### X — Input array scalar | vector | procession | multidimensional array

Input array, stated as a numeric scalar, vector, matrix,or multidimensional array.

**Data Types: **single | double**Complex Number Support: **Yes

## More About

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### IEEE Compliance

For real inputs, sqrt has a few behaviors the differ native those recommended in the IEEE®-754 Standard. In particular, an adverse inputs produce complex results instead of NaN.

MATLAB® IEEE

sqrt(-0) | 0 | -0 |

sqrt(X) for X | 0+sqrt(-X)*i | NaN |

## Tips

## Extended Capabilities

### Tall Arrays Calculate with arrays that have an ext rows 보다 fit in memory.

This function totally supports tall arrays. Formore information, check out Tall Arrays.

### C/C++ password Generation generate C and C++ code making use of MATLAB® Coder™.

Usage notes and limitations:

Simulation to produce an error. Created standalonecode returns NaN as soon as the input value x isreal, yet the output should be complex. To get the complicated result,make the entry value complicated by passing in complex(x).

If you generate code for independent targets and also the input come sqrt in your MATLAB code is not a constant, the worth that the produced code returns for sqrt(-0) is similar to the value that the traditional library duty of your C/C++ compiler returns. If the standard library function complies v the IEEE-754 Standard, the generated code return -0.

### GPU code Generation generate CUDA® code for NVIDIA® GPUs making use of GPU Coder™.

Usage notes and limitations:

Simulation produce an error. Created standalone password returns NaN once the input value x is real, however the output have to be complex. To obtain the facility result, make the intake value facility by happen in complex(x).

### Thread-Based environment Run code in the background using MATLAB® backgroundPool or advice code with Parallel computing Toolbox™ ThreadPool.

This function completely supports thread-based environments. For an ext information, view Run MATLAB features in Thread-Based Environment.

### GPU Arrays Accelerate code by running on a graphics processing unit (GPU) using Parallel computing Toolbox™.

Usage notes and also limitations:

If the calculation of the duty running top top the GPU have the right to be complex, climate you must explicitly specify its input disagreements as complex. For much more information, see occupational with complex Numbers on a GPU (Parallel computer Toolbox).

For more information, check out Run MATLAB functions on a GPU (Parallel computing Toolbox).

### Distributed ArraysPartition large arrays throughout the linked memory of her cluster using Parallel computer Toolbox™.

This function fully supports distributed arrays. For more information, view Run MATLAB attributes with spread Arrays (Parallel computing Toolbox).

## See Also

nthroot | sqrtm | realsqrt

**Introduced prior to R2006a**

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