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Mathematics
Mathematics
Problem
Let
p
=
5
+
3
p = \sqrt{5} + \sqrt{3}
p
=
5
+
3
and
q
=
5
−
3
q = \sqrt{5} - \sqrt{3}
q
=
5
−
3
. Evaluate
(
p
2
−
q
2
)
(
5
+
3
)
(p^{2} - q^{2})\,(\sqrt{5} + \sqrt{3})
(
p
2
−
q
2
)
(
5
+
3
)
. a)
8
5
+
12
2
8\sqrt{5} + 12\sqrt{2}
8
5
+
12
2
b)
10
3
+
6
5
10\sqrt{3} + 6\sqrt{5}
10
3
+
6
5
c)
20
3
+
12
5
20\sqrt{3} + 12\sqrt{5}
20
3
+
12
5
d)
2
15
+
6
2\sqrt{15} + 6
2
15
+
6
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