Irrational Numbers are numbers that can't be represented by a fraction, ie. they don't have terminating or repeating decimals.
Pi (3.14159.........) and e (2.71828.......) are irrational since they can't be expressed in the form a/b where a and b are integers, b =/ 0.
Conversely, .33333333 is rational since it can be expressed as 1/3
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A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.
The sum of a rational and irrational number must be an irrational number.
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
rational * irrational = irrational.
No, 3.56 is not an irrational number. 3.56 is rational.