2006 Cyprus MO/Lyceum/Problem 6
Problem
The value of the expression is
Solution
Suppose that can be written in the form of , in order to eliminate the square root.
Then and , and we quickly find that .
Doing the same on the second radical gets us .
Thus the expression evaluates to .
See also
2006 Cyprus MO, Lyceum (Problems) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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