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Prove that root 2 is an …

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Prove that root 2 is an irrational

    • Posted by Prince Keshri 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Devanshu Kumawat 6 years, 9 months ago

    Firstly , let assume that root 2 is rational then, Root 2=p/q , now square both side Root 2square=p square/q square 2=p square/q square =Q square =p square (This is first equation.) Now, p is divisible by (2) Let p =2k. (Here we use any word like i use k i also use x,y,z ). (This is second equation,). From (1 )&(2) Q square=(2k) square/2 Q sq=4k square ( only this square is put on the k value ) Q sq /2=k sq P/q is rational The common factor of p&q should be 1 Let we proved the common factor of p&q is( 2 ) this contradction occur due to our wrong assumption so, Root 2 is irrational , thanks for ask this question

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