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Prove that ✓5 is irrational number

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Prove that ✓5 is irrational number

    • Posted by Anurag Kumar 5 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Shravani ? 5 years, 6 months ago

    You should first have to assume that √5 is rational √5=p/q that is p=√5q Squaring on both side p2=5q2 P2/5=q2 :.P2is divisible by 5 :.p is also divisible by 5 P=5 are for some integer=r Squaring on both side p2= 25r2 Then it became 25r2=5q2 r2=5q/25 r2=q2/5 Again q2 is divisible by 5 And q is also divisible by 5 Then we have to write reason that 5 is coom factor and p&q are co-prime. This codradiction has arise because of our incorrect assumption so we consider that root 5 is irrational number .

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