how to check if √2 is rational or irrational?? explain in detail​

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how to check if √2 is rational or irrational?? explain in detail​

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Eden 3 months 2021-07-21T00:48:33+00:00 2 Answers 0 views 0

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    0
    2021-07-21T00:49:44+00:00

    Step-by-step explanation:

    Let’s suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.

    A proof that the square root of 2 is irrational.

    2 = (2k)2/b2

    b2 = 2k2

    0
    2021-07-21T00:50:19+00:00

    Step-by-step explanation:

    Let’s suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.

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