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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 , where is a natural number.
(iii) Every real number is an irrational number.

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(i) True: Real numbers are any number which can we think. 
Thus, every irrational number is a real number.

(ii) False: A number line may have negative or positive number. 
Since, no negative can be the square root of a natural number, thus every point the the number line cannot be in the form of where is a natural number.

(iii) False: All numbers are real number and non terminating numbers are irrational number. 
For example etc. are some example of real numbers and these are not irrational.
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Question Text
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 , where is a natural number.
(iii) Every real number is an irrational number.
Answer TypeText solution:1
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