MathDB
Problems
Contests
National and Regional Contests
Bosnia Herzegovina Contests
Junior Regional - Federation of Bosnia Herzegovina
2018 Junior Regional Olympiad - FBH
3
Junior Regional Olympiad - FBH 2018 Grade 7 Problem 3
Junior Regional Olympiad - FBH 2018 Grade 7 Problem 3
Source:
September 19, 2018
Compare
roots
Problem Statement
Let
a
a
a
,
b
b
b
and
m
m
m
be three positive real numbers and
a
>
b
a>b
a
>
b
. Which of the numbers
A
=
a
+
m
−
a
A=\sqrt{a+m}-\sqrt{a}
A
=
a
+
m
−
a
and
B
=
b
+
m
−
b
B=\sqrt{b+m}-\sqrt{b}
B
=
b
+
m
−
b
is bigger:
Back to Problems
View on AoPS