Possible Duplicate:
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
consider R as a vector space over Q then what is the dimension and how do we prove it
Possible Duplicate:
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
consider R as a vector space over Q then what is the dimension and how do we prove it