0 votes 0 votes Show that the set of all irrational numbers is not countable. Theory of Computation peter-linz peter-linz-edition5 theory-of-computation proof turing-machine recursive-and-recursively-enumerable-languages + – Rishi yadav asked Mar 16, 2019 Rishi yadav 826 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply air1ankit commented Mar 16, 2019 reply Follow Share chrome-extension://cbnaodkpfinfiipjblikofhlhlcickei/src/pdfviewer/web/viewer.html?file=https://www.mathstat.dal.ca/~hill/2112/assn7sol.pdf 0 votes 0 votes air1ankit commented Mar 16, 2019 reply Follow Share https://math.stackexchange.com/questions/732/proof-that-the-irrational-numbers-are-uncountable 0 votes 0 votes Please log in or register to add a comment.
Best answer 2 votes 2 votes We know real no = rational + irrational . Rational number is countable Real number is uncountable. Then irrational number must be uncountable . If we take irrational number is countable then real number become countable . So it cant be possible. abhishekmehta4u answered Mar 17, 2019 • selected Mar 17, 2019 by Rishi yadav abhishekmehta4u comment Share Follow See all 0 reply Please log in or register to add a comment.