Show that 5root 2 is irrational number ​

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Show that 5root 2 is irrational number

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Ximena 1 month 2021-08-14T14:04:17+00:00 2 Answers 0 views 0

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    0
    2021-08-14T14:06:00+00:00

    Step-by-step explanation:

    ▪️Let us assume 5√2 to be Rational

    ▪️Then,

    ▪️5√2 = a / b [ Where, a & b are co-prime

    and b ≠ 0 ]

    ▪️√2 = a / 5b

    ▪️a / 5b is rational

    ▪️But, we know √2 is Irrational

    ▪️This contradiction arise due to our wrong supposition that 5√2 is Rational.

    ▪️Hence,

    ▪️5√2 is Irrational !

    Hopes it help you❤️❤️

    0
    2021-08-14T14:06:14+00:00

    Answer:

    Step-by-step explanation:

    Let us assume 5√2 to be Rational

    Then,

    5√2 = a / b [ Where, a & b are co-prime and b ≠ 0 ]

    √2 = a / 5b

    a / 5b is rational

    But, we know √2 is Irrational

    This contradiction arise due to our wrong supposition that 5√2 is Rational.

    Hence,

    5√2 is Irrational ! ! !

    [ Thank you! for asking the question. ]

    Hope it helps!

    pls do mark brainliest!!!

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