To determine the IUPAC nomenclature of the given compound, we must follow these steps:
Identify the longest continuous carbon chain:
In the given structure, the longest chain consists of eight carbon atoms, indicating the parent chain is an octane.
Identify and name the substituents:
The compound has three methyl groups attached to the main chain at the 2nd, 5th, and 6th carbon atoms.
Number the chain:
Number the carbon atoms in the main chain to provide the substituents with the lowest possible numbers. This results in:
2-methyl
5-methyl
6-methyl
Combine the names and numbers of the substituents:
The correct IUPAC name for the compound is:
2,5,6-\text{trimethyl octane}
Conclusion: The correct IUPAC name is 2,5,6-trimethyl octane. The other options are incorrect as they do not match the substituents and parent chain described.