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Prove that Root3 + root5 is …

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Prove that Root3 + root5 is irrational

    • Posted by Saviti Saviti 2 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Payal Kansyakar 2 years, 11 months ago

    Let the possible root 3+root5 are rational in the form of p by q and q not equal to 0 Root 3+root5=p/q

    0Thank You

    Kanishka Sree Muthusamy 2 years, 11 months ago

    Let as assume on contrary that : √3 + √5  is a rational number.  Then there exists co - prime integers p and q such that   ⇒  √3 is a rational number .  But this contradicts the fact that √3  is  irrational. So, our assumption is wrong. Hence, √3  + √5  is  irrational.

    2Thank You

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