MathDB
Problems
Contests
National and Regional Contests
Romania Contests
District Olympiad
2018 District Olympiad
1
\sqrt{n + [ \sqrt{n} +/2]} irrational 2018 Romania District VII p1
\sqrt{n + [ \sqrt{n} +/2]} irrational 2018 Romania District VII p1
Source:
September 1, 2024
algebra
irrational number
Problem Statement
Show that
n
+
[
n
+
1
2
]
\sqrt{n + \left[ \sqrt{n} +\frac12\right]}
n
+
[
n
+
2
1
]
is an irrational number, for every positive integer
n
n
n
.
Back to Problems
View on AoPS