Question

Every point on the numberline is of the form of root m , where m is a natural number

Answer 1

Answer:

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Number System

Exercise 1.2

Question 1: 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 √m, where m is a natural number.

(iii) Every real number is an irrational number.

Answer:

(i) True

Reason: Real numbers are any number which can we think about. Thus, every irrational number is a real number.

(ii) False

Reason: A number line may have negative or positive number. Since, no negative can be the square root of a natural number, thus every point on the number line cannot be in the form of √m, where m is a natural number.

(iii) False

Reason: All numbers are real number and non terminating numbers are irrational number. For example 2, 3, 4, etc. are some example of real numbers and these are not irrational.

Answer 2

Answer:

False,all negative real number cannot be written as root m,where mis a natural number.