Konstruierbare Zahlen/Ausdruck/1/Aufgabe

Es seien ${}z,w\in \mathbb {C}$ konstruierbare Zahlen. Bestimme, ob die Zahl

z^{2}-3z{\sqrt {w}}+{\sqrt {z+w^{2}}}-{\frac {5}{7}}+4{\sqrt {{\sqrt {z}}+w}}+{\sqrt {11}}

konstruierbar ist.

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