Question #7f781

1 Answer
Joe O. · Becca M.
Nov 16, 2014

This is just pure coincidence that

#2+2=2*2=2^2#

4 is a perfect square number, meaning that if you multiply a number (let's say #a#) by itself, then you will get #a*a# or #a^2#.

#3*3=9#

That means 9 is a perfect square. But 6 is not.

Refer to square roots. They are basically a reversal to an #a*a# operation:

#sqrt(a^2)=a#

If 9 is square rooted:

#sqrt(9)=3#

and if 4 is square rooted:

#sqrt(4)=2#.

BUT if 6 is under a square root:

#sqrt(6)~~2.44948974278...#

You don't get a pretty, round integer perfect squares have to offer.

It is just a mathematical "miracle" that #2+2# and #2*2# equals 4. #3+3# equals 6 and #3*3# (which is just #3+3+3#) equals 9, so 3s aren't as graceful as numbers.

I mean, there are triangles ... but I digress.

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