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What is a transcendental number?

Answer:

A transcendental number is a number that is not only irrational, but is also no solution of any algebraic equation. Lindemann proved in the 19th century that pi is transcendental, which means there is no solution to the problem of the quadrature of the circle.

Ans 2. A transcendental number is one that is not the root of any algebraic equation with rational coefficients and can not be exactly calculated by a finite number of algebraic operations.

First answer by Tuwalithi. Last edit by Tpmath. Contributor trust: 205 [recommend contributor ]. Question popularity: 11 [recommend question].

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Relevant answers:

What does it mean if a number is transcendental?
It means that it is not algebraic... that is, it is not the root of a polynomial expression with rational coefficients. There are infinitely more transcendental numbers than algebraic numbers, but...
What is the value of a transcendental number?
All real transcendentals are irrational, and therefore their exact value cannot be determined. Some examples are pi and the natural logarithmic base (usually called 'e'); see the related questions...
What jobs use transcendental numbers?
Engineering, pure Mathematics, Physics, Astronomy, Cosmology, Rocketry.
What is the difference between irrational and transcendental numbers?
An irrational number is a number that cannot be represented as a fraction involving two integers. A transcendental number is a number that cannot be repesented as a polynomial with rational...
Who proved pi is a transcendental number?
> Hermite Actually, Hermite proved that e is transcendental. Lindemann proved that pi is transcendental.