An example is the square root of a number. Ex: square root of 2. This is 1 example, not the main one.
Any cube root or square root which doesn't give a perfect number is an irrational number. Ex; square root and cube root of 5, since their answer will be 2.24 and 1.70 which are not perfect numbers like square roots of 25 and 64 or cube roots of 27 and 216.
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Pi 3.14159... is an irrational number. That's just one example, there are infinitely many of them, just like rational numbers. The word "irrational" means it cannot be expressed as a ratio, or fraction, of any two rational numbers. By the way, the other meaning of irrational meaning non-sensical comes from the same root. The ancient Greeks thought that Irrational Numbers don't exist (they were wrong about that). So something irrational was impossible, pure nonsense.
Four examples of irrational numbers are 21/2, 31/2, 51/2 & 71/3
All irrational numbers are non-recurring. If a number is recurring, it is rational. Examples of irrational numbers include the square root of 2, most square roots, most cubic roots, most 4th. roots, etc., pi, e, and most calculations involving irrational numbers.
They are irrational numbers!
No. Irrational numbers are real numbers, therefore it is not imaginary.
Yes, no irrational numbers are whole numbers.