Show that root3, 2+root3, root5 , 2root3+root5 are irrational number

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Show that root3, 2+root3, root5 , 2root3+root5 are irrational number

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Valentina 4 weeks 2021-08-18T20:24:50+00:00 1 Answer 0 views 0

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    2021-08-18T20:26:33+00:00

    Answer: addition of a rational and irrational no is always a irrational no.

    Here2 is rational and √3 is irrational, so sum of rational and irrational no is always irrational.

    Thus 2+√3 is irrational.

    Apply same for2√3+√5.

    Now we have to assume √5 to be a rational no.

    Then we have to prove that it is not a rational no.

    Thus our contradiction was wrong.

    Thus root 5 is an irrational no

    Step-by-step explanation:

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