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Soros Olympiad in Mathematics
VI Soros Olympiad 1999 - 2000 (Russia)
9.1
compare radicals (VI Soros Olympiad 1990-00 R3 9.1)
compare radicals (VI Soros Olympiad 1990-00 R3 9.1)
Source:
May 28, 2024
algebra
Radicals
Problem Statement
Which of the two numbers is bigger :
1997
+
2
1999
+
2
2001
+
2003
\sqrt{1997}+2\sqrt{1999} + 2\sqrt{2001} + \sqrt{2003}
1997
+
2
1999
+
2
2001
+
2003
or
2
1998
+
2
2000
+
2
2002
2\sqrt{1998} +2\sqrt{2000}+2\sqrt{2002}
2
1998
+
2
2000
+
2
2002
?
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