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Prove that 2root3/5 is irrational number 
Asked by Palarvind865 | 28 Jan, 2018, 11:34: PM
answered-by-expert Expert Answer
begin mathsize 16px style If space we space consider space fraction numerator 2 square root of 3 over denominator 5 end fraction space is space rational space number comma space we space can space write space it space in space the space form space of space straight p over straight q. Hence comma fraction numerator 2 square root of 3 over denominator 5 end fraction equals straight p over straight q square root of 3 equals fraction numerator 5 straight p over denominator 2 straight q end fraction As space space straight p over straight q space is space rational space number space then space fraction numerator 5 straight p over denominator 2 straight q end fraction space is space also space rational space number. It space contradicts space to space square root of 3 space is space rational space number. Hence comma space fraction numerator 2 square root of 3 over denominator 5 end fraction space is space irrational space number. end style
Answered by Sneha shidid | 29 Jan, 2018, 09:53: AM

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