Mathematics Problem of the Week
Fall 2004
The distance between the
irrational number
(approximately 2.414)
and the natural number 2 is less than ½.
The square,
(approximately
5.828), is less than ¼ of a unit from the number 6. Prove that
is within
units of some natural number.
Solutions
should be submitted to Dr. Maegan Bos’ mailbox in the Math office or sent via
e-mail to mbos@stlawu.edu
Presentation counts! The prize-winning entry will
be selected from all correct submissions, based on the clarity, creativity and
elegance of the solution.
Look
for the SLU POW on the Web at http://it.stlawu.edu/~math/activities/