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Prove that 5 + √3 is …

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Prove that 5 + √3 is an irrational number

    • Posted by Yashita Jaswal 5 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 5 months ago

    Let us assume that 5 +√3 is rational.

    Let ,
     5 +√3 = r , where "r" is rational

    5 + r = √3

    Here,
    LHS is purely rational.But,on the other hand ,RHS is irrational.
    This leads to a contradiction.
    Hence,5+√3 is irrational

     

    . 

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