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Irrational Numbers
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.
3,962 Questions
-6 is rational, as it can be written as 1/b (-6/1).
An example of an irrational number is pi, as it has an infinite amount of decimal places.
Since 1.875 is rational and not irrational, the question makes no sense.
Is 0.06006000600006 rational or irrational?
yes because there is a repeatind decimal like, - 2.24224222422224222224
so that makes -0.0600600060000 rational
Are there any irrational numbers?
Yes. In fact, almost all real numbers are irrational numbers.
An irrational number is any number that cannot be expressed as a ratio of two non-zero integers. Examples of irrational numbers are pi (3.14159.....) and e (2.718.....).
Is there inifinitely many irrational numbers?
Yes. In fact, the cardinality of irrational numbers is greater than that of rational numbers.
Does the square root of 2 recur?
No.
Only rational numbers have a recurring decimal; √2 is irrational.
What are the number that is irrational?
They are real numbers that cannot be expressed as a ratio of two integers.
In some respect, yes. But in other respects, no.
One of the unique characteristics of humans is
our ability to learn to think and act rationally.
For mathematicians n usually represents an integer; integers are rational.
However for people who are not mathematicians n can be anything. The only safe answer to this question is 'don't know'.
Is 0 a rational number or an irrational number?
zero technically isn't a number. it represents the absence of a number. It's nothing, and it's just used to show when there isn't any number
Is the square root of twelve irrational?
Yep, it's not a number that can be expressed as a fraction, and must be expressed by some other mathematical operator, such as the square root function. Any number written to a fractional power that cannot be written in whole numbers is considered an irrational number.
