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Mathematics
Mathematics
Problem
If
P
+
3
Q
+
5
R
+
15
S
=
1
1
+
3
+
5
P + \sqrt{3}Q + \sqrt{5}R + \sqrt{15}S = \frac{1}{1 + \sqrt{3} + \sqrt{5}}
P
+
3
Q
+
5
R
+
15
S
=
1
+
3
+
5
1
, then the value of
P
+
Q
+
R
+
S
P + Q + R + S
P
+
Q
+
R
+
S
is (1)
−
1
11
\frac{-1}{11}
11
−
1
(2)
−
2
11
\frac{-2}{11}
11
−
2
(3)
3
11
\frac{3}{11}
11
3
(4)
7
11
\frac{7}{11}
11
7
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