maths chapter 1 exercise 1.2

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STUDY MATERIALS9-12

chapter 1

NUMBER SYSTEM

EXERCISE-1.2

Q1.state wetheer the following statements are true or false. jsutify your answers.
(i)Every irrational number is a real number.
answer:True
Reason: Every number present in a real number line is real numbers and every irrational numbers is present in real number line
(ii)Every point on the number line form square root m , where m is a natural number
answer:False
Reason:NO negative number cannot be the square root of natural number .
(iii)Every real number is a irrational number
answer:False
Reason: Irratioanl numbers are those numbers that are repeating and non terminating whereas all kind numbers are lies in real number line. Q2.Are the square roots of all positive integeres irrational? If not give an example of the square root of a number that is a rational number.
answer:No the square of all positive integers are not irratioanl . for example: square root of 4 is 2 and square root of 9 is 3
Q3. show how square root of 5 can be representes on the number line?
answer:By pythagoras theorem
square root of 5 =square root of (2)^2+(1)^2 hence,

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