Difference between revisions of "1975 AHSME Problems/Problem 29"
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− | <math>(\sqrt{3}+\sqrt{2})^6=(5+2\sqrt{6})^3=(5+2\sqrt{6})( | + | <math>(\sqrt{3}+\sqrt{2})^6=(5+2\sqrt{6})^3=(5+2\sqrt{6})(49+20\sqrt{6})=(485+198\sqrt{6})</math> Then, find that <math>\sqrt{6}</math> is about <math>2.449</math>. Finally, multiply and add to find that the smallest integer higher is <math>\boxed {\textbf{(C) } 970}</math> |
Revision as of 04:36, 25 June 2019
Problem
What is the smallest integer larger than ?
Solution(Very Stupid)
Then, find that
is about
. Finally, multiply and add to find that the smallest integer higher is