Well, assuming that pi is completely random there may be large strings of numbers in there that much up exactly with the string of number in sqrt(2). There may be a 100 straight numbers, a thousand straight numbers, a million straight numbers somewhere...but to have an infinite amount of numbers match one would have to design another irrational number specifically for that purpose. For instance, (pi-1) is an irrational number that will match pi for an infinite number of digits. For the string of digits in one irrational number to be entirely embedded in another their digits have to match forever after a certain point. Unless specifically designed, it is highly unlikely that this will happen.