true or false? All irrational numbers have some repeating pattern which can be used to compare them to rational numbers.

Question

true or false? All irrational numbers have some repeating pattern which can
be used to compare them to rational numbers.

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Tryphena 4 years 2021-07-19T05:25:17+00:00 1 Answers 157 views 0

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    0
    2021-07-19T05:27:16+00:00

    Answer:

    Given statement is false.

    Step-by-step explanation:

    Given that,

    All irrational numbers have some repeating pattern which can  be used to compare them to rational numbers.

    We know that,

    Rational number :

    A rational number is defined such a number which can be written as a ratio.

    It means we can write a rational number as a fraction.

    For example : 2, 3/2 and 4/2… etc.

    In the fraction, both number are4 whole number.

    So, we can say that, a number which can be define as a fraction it is called rational number.

    Irrational number :

    An irrational number is defined such a number which can not be written as a ratio.

    For example : √5, √10 and √15…etc

    So, we can say that, a number which can not be define as a fraction it is called irrational number.

    We need to find all irrational numbers have some repeating pattern which can  be used to compare them to rational numbers

    According to rational number and irrational number

    This statement is false.

    Suppose, √2 is irrational but not repeating.

    So, we can’t write √2 as rational number.

    Hence, Given statement is false.

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