GetAlgebraics(f) returns all the subexpressions of f that are of type AlgebraicObject.

GetAlgebraics(f, 'RootOf') returns all subexpressions of f that are of type algext.

For both calling sequences, GetAlgebraics descends recursively into tables.

$f≔\mathrm{array}\left(\left[1+\mathrm{I}\,x+\mathrm{sqrt}\left(2\right)\,\mathrm{RootOf}\left(y^2-\mathrm{RootOf}\left(x^2-3\,\mathrm{index}=1\right)\,y\,\mathrm{index}=1\right)\right]\right)$

$f≔\left[\begin{array}{ccc}1+\mathrm{I}& x+\sqrt{2}& \mathrm{RootOf}\left({\mathrm{\_Z}}^2-\mathrm{RootOf}\left({\mathrm{\_Z}}^2-3\,\mathrm{index}=1\right)\,\mathrm{index}=1\right)\end{array}\right]$

$\mathrm{Algebraic}\left[\mathrm{GetAlgebraics}\right]\left(f\right)$

$\left\{\mathrm{I}\,\sqrt{2}\,\mathrm{RootOf}\left({\mathrm{\_Z}}^2-\mathrm{RootOf}\left({\mathrm{\_Z}}^2-3\,\mathrm{index}=1\right)\,\mathrm{index}=1\right)\,\mathrm{RootOf}\left({\mathrm{\_Z}}^2-3\,\mathrm{index}=1\right)\right\}$

$\mathrm{Algebraic}\left[\mathrm{GetAlgebraics}\right]\left(f\,'\mathrm{RootOf}'\right)$

$\left\{\mathrm{RootOf}\left({\mathrm{\_Z}}^2-\mathrm{RootOf}\left({\mathrm{\_Z}}^2-3\,\mathrm{index}=1\right)\,\mathrm{index}=1\right)\,\mathrm{RootOf}\left({\mathrm{\_Z}}^2-3\,\mathrm{index}=1\right)\right\}$