UNSW MathSoc Championships Q12

Probability Level 2

Find the nearest integer to ( 1 + 2 ) 7 (1+\sqrt{2})^7 .


The answer is 478.

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Sharky Kesa by Sharky Kesa , 19, United Kingdom

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1 solution

Nick Lee
Jul 7, 2018

I created a separate pdf solution file and made it available to anyone.

Please let me know if there's anything to add or fix.

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0 Helpful 0 Interesting 0 Brilliant 0 Confused

Basically you add ( 2 − 1 ) 7 (\sqrt{2}-1)^7 and then some of the terms will cancel and you will be left with an integer.

Ephram Chun - 4 months, 2 weeks ago

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