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1
SMT 2022 Algebra #1
SMT 2022 Algebra #1
Source:
March 27, 2023
Problem Statement
Compute
5
+
6
2
+
3
+
7
+
12
3
+
4
+
⋯
+
63
+
992
31
+
32
.
\frac{5+\sqrt{6}}{\sqrt{2}+\sqrt{3}}+\frac{7+\sqrt{12}}{\sqrt{3}+\sqrt{4}}+\dots+\frac{63+\sqrt{992}}{\sqrt{31}+\sqrt{32}}.
2
+
3
5
+
6
+
3
+
4
7
+
12
+
⋯
+
31
+
32
63
+
992
.
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