- #1
rbzima
- 84
- 0
1. Show that if [tex]a, b \in \textbf{Q}[/tex], then [tex]ab[/tex] and [tex]a + b[/tex] are elements of [tex]\textbf{Q}[/tex] as well.
2. Show that if [tex]a \in \textbf{Q}[/tex] and [tex]t \in \textbf{Q}[/tex], then [tex]a + t \in \textbf{I}[/tex] and [tex]at \in \textbg{I}[/tex] as long as [tex]a \neq 0[/tex].
I'm just a little shady on showing these properties, so if someone could give me a little reminder, that would be swell. It's been a few years since I've taken an Algebra course.
2. Show that if [tex]a \in \textbf{Q}[/tex] and [tex]t \in \textbf{Q}[/tex], then [tex]a + t \in \textbf{I}[/tex] and [tex]at \in \textbg{I}[/tex] as long as [tex]a \neq 0[/tex].
I'm just a little shady on showing these properties, so if someone could give me a little reminder, that would be swell. It's been a few years since I've taken an Algebra course.