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AMC 12/AHSME
1984 AMC 12/AHSME
13
Fraction simplification
Fraction simplification
Source:
October 15, 2005
Problem Statement
2
6
2
+
3
+
5
\frac{2 \sqrt 6}{\sqrt 2 + \sqrt 3 + \sqrt 5}
2
+
3
+
5
2
6
equals A.
2
+
3
−
5
\sqrt 2 + \sqrt 3 - \sqrt 5
2
+
3
−
5
B.
4
−
2
−
3
4 - \sqrt 2 - \sqrt 3
4
−
2
−
3
C.
2
+
3
+
6
−
5
\sqrt 2 + \sqrt 3 + \sqrt 6 - 5
2
+
3
+
6
−
5
D.
1
2
(
2
+
5
−
3
)
\frac{1}{2} (\sqrt 2 + \sqrt 5 - \sqrt 3)
2
1
(
2
+
5
−
3
)
E.
1
3
(
3
+
5
−
2
)
\frac{1}{3} (\sqrt 3 + \sqrt 5 - \sqrt 2)
3
1
(
3
+
5
−
2
)
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