[editor-surveyor]

"Since Pi is an infinitesimal number there is no exact square root..."

Is it possible that you mean Irrational? :-)

[razorback-bert]

I once saw an Irrational Moose!

[Ernest_at_the_Beach]

You get the prize!
The square root of two is also an irrational number!
That is a number that cannot be written as the ratio of two integers.

If a number cannot be written as the ratio of two integers
(like pi) then it follows that its square root also cannot!