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Prove root 5 is an irrational …

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Prove root 5 is an irrational number.

    • Posted by Ajay Ray 4 years, 4 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 4 years, 4 months ago

    Let us assume that √5 is a rational number.
    we know that the rational numbers are in the form of p/q form where p,q are integers.
    so, √5 = p/q
         p = √5q
    we know that 'p' is a rational number. so √5 q must be rational since it equals to p
    but it doesn't occurs with √5 since its not an integer
    therefore, p =/= √5q
    this contradicts the fact that √5 is an irrational number
    hence our assumption is wrong and √5 is an irrational number.

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