# 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