about Simple Extentions in algebra NOTE Unless stated otherw

about \'Simple Extentions\' in algebra

NOTE: Unless stated otherwise, K is an extension field of the field F. Prove that Q3 od

Solution

Since 4 is in Q,

it follows that 4(3+i) is in Q(3+i).

So 1iQ(3+i)

and therefore Q(1i)Q(3+i).

And Q(3+i) = Q(1-i)

Hence Proved