How do you compare real numbers?

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Answer 1 · 2014-11-09T15:19:32

You can either compare their decimal representations or compute the difference to see if it is positive or negative.

Example 1

#pi=3.14...#

#2sqrt(3)=3.46...#

Hence, #pi < 2sqrt{3}#.

Example 2

#2sqrt(2)-e=0.11...>0#

Hence, #2sqrt{2} > e#

I hope that this was helpful.