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Show that root 5+2root3 is irrational

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Show that root 5+2root3 is irrational

    • Posted by Rita Raman 7 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Rishu Raj 7 years, 6 months ago

    let 5+√3 =a is rational, then √3=a-5(1) we know that if rational is subtracted from rational we get rational as result ,so. from eq (1) irrational = rational ,which is impossible ,therefore our supposition is wrong ,and 5+√3=a is irrational.....

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