Difference between revisions of "1986 AIME Problems/Problem 2"

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== Problem ==
 
== Problem ==
 +
Evaluate the product <math>(\sqrt 5+\sqrt6+\sqrt7)(-\sqrt 5+\sqrt6+\sqrt7)(\sqrt 5-\sqrt6+\sqrt7)(\sqrt 5+\sqrt6-\sqrt7)</math>.
  
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
 
* [[1986 AIME Problems]]
 
* [[1986 AIME Problems]]
  
 
{{AIME box|year=1986|num-b=1|num-a=3}}
 
{{AIME box|year=1986|num-b=1|num-a=3}}

Revision as of 18:34, 10 February 2007

Problem

Evaluate the product $(\sqrt 5+\sqrt6+\sqrt7)(-\sqrt 5+\sqrt6+\sqrt7)(\sqrt 5-\sqrt6+\sqrt7)(\sqrt 5+\sqrt6-\sqrt7)$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

1986 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions