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e, the base of the natural logarithm, is an important irrational constant.
Any positive integer that isn't a perfect square will have an irrational square root.
Any non-repeating decimal that goes on forever is irrational.
1.101001000100001...(add an extra zero between each pair of ones).
If you study number theory and the transfinites, irrational numbers are actually far more common than rationals because they are defined by a higher infinity. If you were to pick a number completely at random, it would be irrational because the probability of it being rational is zero.
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What other types of numbers are irrational?
square roots, pi
What real number is also irrational?
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
What is pi an example of what kind of numbers?
Pi belongs to the sets of real numbers, transcendental numbers and irrational numbers.
Are all irrational numbers radical?
No they are not. The numbers Pi and e are irrational and are not radicals. There are many others.
What numbers can be irrational?
pi, in the mathematical term.
