Question

prove that the set of real numbers is a field.​

Answer 1

Step-by-step explanation:

From Non-Zero Real Numbers under Multiplication form Abelian Group, we have that (R≠0,×) forms an abelian group. Next we have that Real Multiplication Distributes over Addition. Thus all the criteria are fulfilled, and (R,+,×) is a field.

Answer 2

Question:

prove that the set of real numbers is a field.

Answer:

From Non-Zero Real Numbers under Multiplication form Abelian Group, we have that (R≠0,×) forms an abelian group. Next we have that Real Multiplication Distributes over Addition. Thus all the criteria are fulfilled, and (R,+,×) is a field.