0
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 many rational numbers can be put between 2 and7?
There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway:
2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.
Is the square root of 14 rational or irrational?
The square root of 14 is irrational. Three squared is 9, and four squared is 16; so square root of 14 is in-between 3 and 4.
What are some facts about Irrational numbers'?
Irrational numbers are numbers that can't be expressed as fractions and are never ending decimals that can't be expressed as fractions as for example the value of pi as in a circle.
Is 15 point 15151515 repeating an irrational number?
No, any repeating decimal digit is a rational number. It only states that it is non-terminating decimal. It is rational.
Is 0.666..... a counting number?
No, it is a rational number. Numbers in the form of a/b, where a and b are integers, are called rational numbers.
0.666... can be written as 20/3. So it is a rational number.
Why are whole numbers not irrational?
Because any whole number, k, can be expressed in the form k/1 which is a ratio of two integers. Since it can be expressed as a ratio of two integers it is a rational number.
Who is the mathematician of irrational numbers?
There is no single mathematician. It has been known since ancient times that the length of the diagonal of a unit square is sqrt(2) which is irrational.
What could be an irrational number between 4and5?
The square root of any number between 42 = 16 and 52 = 25, eg √17, √20
Two numbers have a sum of 39 Their difference is 11 What are the two numbers?
The Answers are 25 and 14
25+14=39
25-14=11
What are the uses of transcendental numbers?
Two of the most important numbers in mathematics, pi and e (Euler's number) are both transcendental. Both are used in almost all branches of mathematics, and through that, in our daily lives even if you are not aware of them.
What is the square roots of a even number from 10 to 20?
16 is an even number from 10 to 20, and its square roots are -4 and +4.
