MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2012 India PRMO
12
12
Part of
2012 India PRMO
Problems
(1)
2012 preRMO p12, 1/ \sqrt{2011+\sqrt{2011^2-1}}=\sqrt{m}-\sqrt{n}
Source:
6/16/2019
If
1
2011
+
201
1
2
−
1
=
m
−
n
\frac{1}{\sqrt{2011+\sqrt{2011^2-1}}}=\sqrt{m}-\sqrt{n}
2011
+
201
1
2
−
1
1
=
m
−
n
, where
m
m
m
and
n
n
n
are positive integers, what is the value of
m
+
n
m+n
m
+
n
?
algebra