A Beautiful Math Olympiad Simplification Without Calculator

"A Beautiful Math Olympiad Simplification Without Calculator"
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[@paulortega5317]

Or (1/4)sqrt( (1003 - 3)*(1003 + 3)*(1003 - 1)*(1003 + 1) +16)
= (1/4)*sqrt( (1003^2 - 9)*(1003^2 - 1) + 16)
= (1/4)*sqrt( 1003^4 - 10*1003^2 + 25)
= (1/4)*(1003^2 - 5)
= 251501

[@Mathprowess]

You the best tutor here sir.
Thanks for the steps/approach you applied in solving this sir.

[@paulortega5317]

@@Mathprowess Thanks. I love teaching math! I have a lot of fun with these problems to see the different approaches people use. I also like to figure out the general cases.