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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
How do you find the square root of a rational number?
It is the number that youve hat to square to get to that number.
Is 0.7142857 an irrational number?
As posted, no, 0.7142857 is not an "irrational number". It might be fairly complicated to reduce, but it can be expressed rationally - that is, as the ratio or fraction between two other numbers..
Irrational numbers are numbers that cannot be expressed as a fraction. For example, the number "pi", which is the ratio of the circumference of a circle to its diameter, cannot be expressed as a fraction of any other numbers.
No it is not. It can be written as a fraction, so it cannot be irrational.
Is there an irrational number between one third and one half?
There are more irrational numbers in that interval than there are rational numbers in total!
The set of all rational and irrational numbers?
Are disjoint and complementary subsets of the set of real numbers.
Is 3 and 1 over 4 a rational number?
Yes.
All mixed numbers can be converted into improper fractions where there is one integer over another (non-zero) integer which is the form of a rational number.
3 1/4 = (3×4+1)/4 = 13/4
Is 2.24224222422224 irrational?
No, the number 2.24224222422224 is not irrational; it is a rational number. It can be expressed as a fraction, specifically because it has a finite decimal representation. Rational numbers are those that can be written as a fraction of two integers, and since this number has a repeating decimal pattern, it can also be expressed as a fraction.
What does the discriminant have to be in order for the roots of a quadratic to be irrational?
The discriminant must be a positive number which is not a perfect square.
Can you irrational numbers be written as fractions?
Irrational numbers can't be expressed as fractions.
Is 1.17513698... an irrational number?
No, the number 1.17513698... is not necessarily an irrational number based solely on the digits provided. It appears to be a decimal representation, which could either be terminating or repeating. If the digits continue indefinitely without repeating, then it would be irrational; otherwise, if it terminates or has a repeating pattern, it is rational. Without more information about the nature of the decimal, we cannot definitively classify it as irrational.
0.1 is the ratio of ' 1 ' to 10. That's about as rationalas you can get.
Which numbers is between 0.62 and 1.05?
There are infinite amount of numbers but 0.835 is in the middle
