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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
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.
How would you mentally compute irrational numbers?
Usually with great difficulty. The answer also depends on the nature of the irrational number - whether it is simply a square root or if it is a combination of roots of different orders.
Can an irrational number become rarional by dropping a few decimal points?
Well, not 'a few'. An irrational number can never be completely written out.
As a decimal, it just keeps going and going, forever. If you stop it anywhere
and say "That's the number.", then you have a rational number.
What are ten irrational numbers?
The square roots of 2, 3, 5, 6, 7. In all cases there are two roots (+ and -).
What are the square roots that are irrational?
A (probably) infinite list. It's an unsolved number theory problem that directly relates to the question of "how many fractions of whole numbers are irrational".
How do you take a rounded number as a decimal number of millions?
I do not understand your question. Please rephrase.
Is a real number either a rational or an irrational number?
Yes, reals are rationals and irrationals.
No, it ends. It doesn't continue on and on like pi or tau.
Is it possible to estimate the proportion of rational numbers to irrational numbers?
No, but there there is a relationship in terms of transfinite numbers.
The number of rational numbers, the cardinality of Q is À0 (Aleph-null) while that of the set of irrational numbers is 2À0.
What transaction is used when you add two numbers then subtract the answer to another number?
Addition and subtraction!
When it is a real number that cannot be expressed as a ratio of two integers.
Is zero an irrational or rational number?
It can be expressed as the ratio of two integers: 0/1
Therefore, it is a rational number.
Is the square of two irrational numbers irrational?
you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER
Is 0.6 is a rational or irrational number?
0.6 is a rational number because it can also be expressed as a fraction.
