show that 7 root 2 is a irrational number

Question

show that 7 root 2 is a irrational number

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Kinsley 4 weeks 2021-10-26T12:45:12+00:00 2 Answers 0 views 0

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  1. Ava
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    2021-10-26T12:46:19+00:00

    Answer:

    Let us assume that 7root is a rational number

    then, 7root2 = a/b (a,b – co prime)

    root 2=a/7b (a,b,7= integers, a/7b = rational)

    root2 =rational

    But, it contradicts fact that root 2 is a rational number. Hence, our assumption is wrong.

    roo2 is not a rational number.

    Therefore, root2 is an irrational number.

  2. Ava
    0
    2021-10-26T12:47:07+00:00

    Answer:

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