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State whether the following statements ...

State whether the following statements are true or false. Justify your answers, (i) Every irrational number is a real number.(ii) Every point on the number line is of the form `sqrt(m)`, where m is a natural number.(iii) Every real number is an irrational number.

Text Solution

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(i) It is true as both rational and irrational numbers are real numbers.

(ii) It is false as there may ne negative values for m and `sqrt(-m)` is not possible for natural numbers.

(iii) It is false as both rational and irrational numbers are real numbers.Real numbers also contain rational numbers.

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Knowledge Check

  • Every point on a number line represents.

    A
    a rational number
    B
    a natural number
    C
    an irrational number
    D
    a unique real number

  • Every whole number is a natural number?

    A
    True
    B
    False
    C
    Cannot determine
    D
    None of these

  • Every natural number is a whole number?

    A
    True
    B
    False
    C
    Cannot determine
    D
    None of these

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