sqrt

Square root

sqrt(A)

• A should be an array, which can be real of complex.
• It gives the square root of each element of A.

Example 1: Square roots of complex numbers.

% Random complex array
a=complex(rand(3,4),rand(3,4))
sqrt(a)

a = 1e-1 ×
0.247 + 0.020i   4.099 + 5.631i   8.520 + 6.267i   3.072 + 5.485i
3.185 + 9.263i   9.534 + 0.181i   7.543 + 3.953i   3.548 + 8.546i
7.510 + 6.964i   8.011 + 7.200i   9.378 + 8.896i   6.924 + 2.994i

ans =
0.157 + 0.006i   0.744 + 0.379i   0.977 + 0.321i   0.684 + 0.401i
0.806 + 0.575i   0.976 + 0.009i   0.896 + 0.221i   0.800 + 0.534i
0.942 + 0.370i   0.969 + 0.372i   1.056 + 0.421i   0.851 + 0.176i


Example 2: Square roots of negative numbers are complex.

% Random array of negative numbers
a=-rand(3,4)
sqrt(a)

a = 1e-1 ×
-2.647  -7.629  -9.176  -3.180
-4.225  -6.426  -0.687  -8.491
-1.149  -4.777  -5.991  -9.311

ans = 1e-1 ×
0.000 + 5.145i   0.000 + 8.734i   0.000 + 9.579i   0.000 + 5.639i
0.000 + 6.500i   0.000 + 8.017i   0.000 + 2.621i   0.000 + 9.215i
0.000 + 3.390i   0.000 + 6.911i   0.000 + 7.740i   0.000 + 9.649i