Are-there-more-Trancendental-or-Non-Trancendental-numbers-NOTE-Trancendentals-are-numbers-that-cannot-be-written-algerbraically-e-g-x-2-2-2-is-non-trancendental-pi-is-transendental-

Question Number 3994 by Filup last updated on 26/Dec/15

A re there more T r a n c e n d e n t a l

o r N o n - T r a n c e n d e n t a l n u m b e r s ?

NOTE :

T r a n c e n d e n t a l s a r e n u m b e r s t h a t

c a n n o t b e w r i t t e n a l g e r b r a i c a l l y .

e . g . x^{2} = 2

∴ \sqrt{2} is non - trancendental

π is transendental

Commented by prakash jain last updated on 26/Dec/15

Set of algebraic numbers is countable .

Set of trancsdental numbers is not countable .

Commented by Filup last updated on 26/Dec/15

How can we prove it ?

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