Quite simply, there are numbers that can't be expressed exactly by a rational number, including the square root of 2, 3, 5, 6, etc. (in fact of any positive integer that doesn't happen to be a perfect square), pi, and e.
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properties of irrational numbers
The Real numbers
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
No. If it was a rational number, then it wouldn't be an irrational number.
0.151515(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.