Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 6"
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<math>S</math> can be expressed as <math>p + q \sqrt{r}</math>, where <math>p, q,</math> and <math>r</math> are positive integers and <math>r</math> is not divisible by the square of any prime. Determine <math>p + q + r</math>. | <math>S</math> can be expressed as <math>p + q \sqrt{r}</math>, where <math>p, q,</math> and <math>r</math> are positive integers and <math>r</math> is not divisible by the square of any prime. Determine <math>p + q + r</math>. | ||
| − | == | + | ==Solution== |
| + | {{solution}} | ||
| + | |||
| + | ==See also== | ||
Revision as of 08:33, 14 February 2008
Problem
Let 
denote the value of the sum
can be expressed as 
, where 
and 
are positive integers and is not divisible by the square of any prime. Determine 
.
Solution
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