Question

ocated.
EXERCISE 1.2
1. State whether the following statements are true or false. Justify your answers.
(1) 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.
2. Are the square roots of all positive integers irrational? If not, give an example of the
square root of a number that is a rational number.
3. Show how 15 can be represented on the number line.
P
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4. Classroom activity (Constructing the 'square root
spiral') : Take a large sheet of paper and construct
the 'square root spiral' in the following fashion. Start
with a point 0 and draw a line segment OP, of unit
length. Draw a line segment PP, perpendicular to
OP, of unit length (see Fig. 1.9). Now draw a line
segment P.P perpendicular to On TL
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V2
P
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Answer 1

Answer:

1.true false

1.true,since collection of real numbers is made up of rational and irrational number.

2.false, because no negative number can be the square root of any natural number.

3.false, for example 2 is real but not irrational.

2.No.For example√4 =2 is a rational number.

Step-by-step explanation:

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