My Math Forum square root of 6

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 June 30th, 2014, 12:33 AM #1 Senior Member     Joined: Oct 2013 From: Far far away Posts: 431 Thanks: 18 square root of 6 Question: Prove that sqrt(6) is irrational NOTE: sqrt(6) = square root of 6 My attempt: (1) Let sqrt(6) = a/b a fraction in simplest form (2) so 6 = (a^2)/(b^2) (3) so 6(b^2) = a^2 (4) a^2 will have all prime factors raised to an even power (5) 6(b^2) will have prime factors 2 and 3 (2 x 3 = 6) raised to an odd power (6) (4) and (5) is impossible (7) Therefore, sqrt(6) = a/b is false ( 8 ) Therefore, sqrt(6) is irrational Is this correct? Is there another/better way? Thanks
 June 30th, 2014, 01:19 AM #2 Senior Member     Joined: Apr 2014 From: Europa Posts: 584 Thanks: 177 Thanks from shunya

 Tags root, square

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post TwoTwo Algebra 43 December 1st, 2013 02:08 AM rokr32 Algebra 18 March 22nd, 2012 06:42 AM jared_4391 Algebra 3 August 8th, 2007 09:06 AM johnny Algebra 4 August 8th, 2007 09:03 AM rain Academic Guidance 1 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top