Proof about self-adjoint linear transformations

Jun 2016
14
0
London
Let $V$ be a finite-dimensional complex inner product space. Prove that given any self-adjoint linear transformation $f:V\rightarrow V$ there exists a self-adjoint linear transformation $g:V\rightarrow V$ such that $f=g^5$.

I'm not sure how to even begin so I would appreciate some guidance if it's not too much to ask. Thank you in advance!