Exercise
Q
(
2)(
3) equals
Q
(
2)
Q
(
3)
Q
(
2 +
3)
No,
3 is not in
Q
(
2).
No,
2 is not in
Q
(
3).
Yes, 1/(
2 +
3) =
3 -
2. Hence
2 =1/2 (
2 +
3) - (
3 -
2) is in
Q
(
2 +
3). Similarly,
3 is contained in
Q
(
2 +
3) and we easily find that
Q
(
2 +
3) =
Q
(
2)(
3).