There is no first irrational number. Irrational Numbers are infinitely dense which means that there are infinitely many of them in any interval. So if any number laid claim to being the first, there would be infinitely many that would be between 0 and that number. Each one of them would then have a better claim to be "first".
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An irrational number.
When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.
It is not an irrational number!
Yes, it will always be irrational.
Irrational.