Question

same way, you can locate vn for any positive integer n, after
d.
EXERCISE 1.2
State whether the following statements are true or false. Justify you
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form m, where m is a
(iii) Every real number is an irrational number.
Are the square roots of all positive integers irrational? If not, give a
square root of a number that is a rational number.​

Answer 1

Step-by-step explanation:

(i) false

(ii) false

(iii) false

Answer 2

Answer:

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

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

iii) False: All numbers are real numbers and non terminating numbers are irrational numbers. For example,2,3,4,etc., are real numbers and these are not irrational.

Square root of all positive integers are not irrational. For example 4,9,16,etc., are positive integers and their square roots are 2,3,4,etc., which are rational.