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k
.
<
z
>
=
QuadraticField
(
5
)
R
.
<
a
,
b
,
c
,
d
>
=
k
[
]
show
(
(
a
+
b
*
z
)
*
(
c
+
d
*
z
)
)
a
c
+
5
b
c
+
5
a
d
+
5
b
d
\displaystyle a c + \sqrt{5} b c + \sqrt{5} a d + 5 b d
a
c
+
5
b
c
+
5
a
d
+
5
b
d