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National and Regional Contests
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Canadian Open Math Challenge
2018 Canadian Open Math Challenge
B1
2018 COMC B1
2018 COMC B1
Source:
December 6, 2018
Comc
2018 COMC
Problem Statement
Source: 2018 Canadian Open Math Challenge Part B Problem 1 —--Let
(
1
+
2
)
5
=
a
+
b
2
(1+\sqrt2)^5 = a+b\sqrt2
(
1
+
2
)
5
=
a
+
b
2
, where
a
a
a
and
b
b
b
are positive integers. Determine the value of
a
+
b
.
a+b.
a
+
b
.
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