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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
Since 1.875 is rational and not irrational, the question makes no sense.
What are the number that is irrational?
They are real numbers that cannot be expressed as a ratio of two integers.
Is there inifinitely many irrational numbers?
Yes. In fact, the cardinality of irrational numbers is greater than that of rational numbers.
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.....).
Does the square root of 2 recur?
No.
Only rational numbers have a recurring decimal; √2 is irrational.
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'.
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.
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.
What is an important detail about rational number?
Although infinite in number, they are very much a minor subset of the real numbers.
If A denotes the number cardinality of rational numbers (the size of the set), then the cardinality of irrational numbers is 2A.
In mathematics, A is "Aleph-null" but I cannot get this xenophobic browser to accept characters from other languages.
What numbers are irrational integers?
I think fractions are irrational unless you make them rational. Is pi rational? Tough question...I don't really remember anything. It's probably a trick question, but if it's not than maybe a repeating decimal.
If the symbol preceding the 61 is intended to be a radical sign, the answer is yes. If it is not a radical, it depends on the value of v.
