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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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