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Prove that root 2 + root …

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Prove that root 2 + root 5 is an irrational number

    • Posted by Amishi Agarwal 1 year, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Muskaan Syed 1 year, 6 months ago

    Let's assume that √2 + √5 is a rational number. √2+√5=a/b Sq. On both sides =2+5+2√10= a^2/b^2 2√10=a^2/b^2 -7 2√10=a^2-7/b^2. √10=a^2-7/2b^2 . It's a fact that √10 is irrational. Hence our assumption that √2+√5 is rational is incorrect..... Hence, √2+√5 is irrational

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