11th February 2016 by What's What Team

Reckon your knowledge about transcendental numbers

A transcendental number is the one which cannot be obtained as roots of an equation with rational coefficients like, 3x² + 2x + 4 = 0.
The mathematical constant or Euler’s number ‘e’ and ‘pi’ are examples of transcendental numbers. The proof of above proposition is not very simple, which is partly the reason why ‘e’ and ‘p’ could not be shown to be so respectively till 1873 and 1882. Both ‘e’ and ‘p’ are non-recurring and non-terminating decimals. The values of ‘e’ and ‘p’, correct up to fifty decimal places, are respectively.

1. 71828 18284 59045 23536 02874 71352 66249 77572 47093 69995 …. And
2. 14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 ….

#e#exponential#Irrational Numbers#Non Constant Algebraic Function#PI#transcendental number