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Mathematics
Problem
If
p
p
p
and
q
q
q
are positive real numbers such that
p
2
+
q
2
=
1
p^2 + q^2 = 1
p
2
+
q
2
=
1
, then the maximum value of
(
p
+
q
)
(p + q)
(
p
+
q
)
is [2007] (a)
1
2
\frac{1}{2}
2
1
(b)
1
2
\frac{1}{\sqrt{2}}
2
1
(c)
2
\sqrt{2}
2
(d) 2
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