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Prove that 2-3Root 5

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Prove that 2-3Root 5

    • Posted by Anshul Anshul 7 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Omraje Deore 7 years, 4 months ago

    Let, 2-3√5 be a rational number. 2-3√3=a/b Where 'a' and 'b' are coprimes -3√3=a/b-2 -3√3=a-2b/b √3=a-2b/b×(-3) √3=a-2b/-3b √3=(integer)-2(integer)/-3(integer) √3=rational number But,comtradiction √3 is a irrational number. Thus, Our assumption is wrong. Therefore, 2-3√5 is a irrational number.

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