Do not understand symbol in homework

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My teacher, on the homework, posted what looked like a Reimman sum, except instead of a capital sigma, there was a Pi symbol instead. I never learned what that means or what its called. Can someone explain it to me?
 
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Thats a product. Instead of adding like in the riemann sum, you multiply everything.

\prod n= 1 \cdot 2\cdot \cdot \cdot \cdot basically. If, n was from 1 to infinity.
 
It means product. Wallace's formula for pi, for example:

\frac {\pi} 2 = \Pi_{n=1}^{\infty} \frac {(2n)^2}{(2n-1)(2n+1)}
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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