The Square root of Pi

Last night my younger son asked me about .  I got so caught up in thinking about what to talk about that I actually forgot the context that gave rise to the question.  Oh well.

It certainly is true that comes up less frequently than plain old , but there were still a few fun ideas.

First was the obvious one – squaring the circle:

 

Finally, a fun suggestion from twitter:

@mikeandallie Which is larger, the square root of pi or the pi-th root of two?

— Christopher D. Long (@octonion) April 6, 2014

Even though this suggestion is a little above what we’ve studied, I thought it would be fun to talk through it:

Definitely a fun little morning with

 

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