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State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. Q.1 (1)

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Today i am solving the ncert class 9th chapter number systems  what is the best solution of exercise 1.2 question number 1(1) ,Please help me to solve this question in a easiest and simplest way , also find the best solution of this question.State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number.

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  1. True

    Irrational Numbers – A number is said to be irrational, if it cannot be written in the p/q, where p and q are integers and q ≠ 0.

    i.e., Irrational numbers = π, e, √3, 5+√2, 6.23146…. , 0.101001001000….

    Real numbers – The collection of both rational and irrational numbers are known as real numbers.

    i.e., Real numbers = √2, √5, , 0.102…

    Every irrational number is a real number, however, every real numbers are not irrational numbers.

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