Final answer:
The question contains unclear mathematical symbols, rendering it impossible to provide an accurate proof or explanation without additional context or clarification.
Step-by-step explanation:
The question seems to be asking about a proof or establishing an equality involving square roots and possibly some mathematical constants or functions represented by symbols like Ω*, H, and !. However, the question includes symbols that do not directly correspond to known mathematical constants or operations, without more specific context. Therefore, it is impossible to provide a factual and accurate mathematical proof or explanation based on the provided information.
Typically, to prove that two expressions are equal, one would manipulate one or both of the expressions using algebraic properties, definitions, and theorems to show they are equivalent. For instance, proving a relationship involving square roots might involve squaring both sides of an equation or taking the square root of both sides, depending on what is known and what needs to be proven. Without a clear, contextually accurate format of the expressions in the question, this process cannot be followed.
In the absence of clear information or a valid mathematical expression, it is advised to request clarification on the symbols and the context of the question in order to provide an accurate and helpful explanation.