There are an infinite number of Irrational Numbers.
Here are some: e (the base for natural logarithms), pi, sqrt(2), sqrt(3), sqrt(5), square root of any number that is not a perfect square:
perfect squares are 12 22 32 42 52 etc. which equals 1 4 9 16 25 .....
natural logarithm of any rational number (greater than zero) will be irrational.
but not 1, since ln(1) = 0, which is not irrational. Note the logarithm of a negative number is a complex number, and the logarithm of zero is negative infinity.
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It is impossible to list all the digits of π as they go on forever without repeating - π is an irrational number (in fact it is a transcendental number which is a special kind of irrational number). π starts 3.1415926535897932384626433832795028841971693993...
Irrational numbers are infinitely dense so it is not possible to list them. Whatever positive irrational number you select, there are infinitely many smaller ones.
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!