Question #7f781

1 Answer
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.