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IfIs the field of real numbers $\mathbb{R}$ a finite extension for someof some subfield $k\subset \mathbb{R}$?

If the field of real numbers $\mathbb{R}$ a finite extension for some subfield $k\subset \mathbb{R}$?

Is the field of real numbers $\mathbb{R}$ a finite extension of some subfield $k\subset \mathbb{R}$?

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Field extension of fields

If the field of real numbers $\mathbb{R}$ a finite extension for some subfield $k\subset \mathbb{R}$?