Square root of a matrix

In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices.

Matrix B is said to be a square root of A if the matrix product BB is equal to A.

In general, a matrix can have several square roots. For example, the matrix ${\displaystyle \left({\begin{smallmatrix}33&24\\48&57\end{smallmatrix}}\right)}$ has square roots ${\displaystyle \left({\begin{smallmatrix}1&4\\8&5\end{smallmatrix}}\right)}$ and ${\displaystyle \left({\begin{smallmatrix}5&2\\4&7\end{smallmatrix}}\right)}$, as well as their additive inverses.

...
Wikipedia