A241149 Decimal expansion of sqrt(2) + sqrt(3) + sqrt(5).

5, 3, 8, 2, 3, 3, 2, 3, 4, 7, 4, 4, 1, 7, 6, 2, 0, 3, 8, 7, 3, 8, 3, 0, 8, 7, 3, 4, 4, 4, 6, 8, 4, 6, 6, 8, 0, 9, 5, 3, 0, 9, 5, 4, 8, 8, 7, 9, 8, 8, 5, 4, 4, 2, 5, 5, 0, 3, 3, 8, 3, 9, 6, 2, 8, 5, 3, 1, 8, 6, 4, 2, 1, 0, 0, 8, 7, 1, 1, 9, 7, 5, 3, 4, 5, 9, 4, 8, 1, 2, 9, 4, 6, 3, 6, 7, 2, 4, 2, 3, 3, 8, 0, 1, 4, 8, 1, 6, 3, 7, 9, 7, 0, 9, 2, 7, 8, 3, 5, 5, 9, 1, 4, 8, 0, 4, 8, 8, 7, 5, 2, 9, 6, 7, 6, 3

Offset: 1

Author

K. D. Bajpai, Apr 16 2014

Keywords

• nonn
• cons
• easy

Comments

This is an algebraic integer, with its minimal polynomial being x^8 - 40x^6 + 352x^4 - 960x^2 + 576. - Alonso del Arte, Apr 17 2014

Examples

			5.382332347441762038738308734446846680953095488798854425503383962...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Michael Penn, When showing square root 2 is irrational is too easy, YouTube video, 2022.

Crossrefs

Cf. A002163 (decimal expansion: sqrt(5)).

Cf. A002193 (decimal expansion: sqrt(2)).

Cf. A002194 (decimal expansion: sqrt(3)).

Programs

Magma

Sqrt(2) + Sqrt(3) + Sqrt(5); // G. C. Greubel, Jul 27 2018

Maple

evalf(add(sqrt(ithprime(i)), i=1..3), 121);  # Alois P. Heinz, Jun 13 2022

Mathematica

RealDigits[Sqrt[2] + Sqrt[3] + Sqrt[5], 10, 200]

PARI

sqrt(2) + sqrt(3) + sqrt(5) \\ G. C. Greubel, Jul 27 2018