Question

MATHEMATICS
8
NUMBER SYSTEMS
Example 5 : Find t
located
EXERCISE 1.2
Solution:
13.333...
1.
310
a natural
( Every irrational number is a real number.
number.
9
10
(iii) Every real number is an irrational number.
9.
2.
10
square root of a number that is a rational number.
9
P, 1
10
4.
C
V3
P
3. Show how 5 can be represented on the number line.
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 O and draw a line segment OP, of unit
length. Draw a line segment P,P, perpendicular to
OP, of unit length (see Fig. 1.9). Now draw a line
segment PP perpendicular to OP,. Then draw a line
segment P P. perpendicular to OP. Continuing in
this manner, you can get the line segment P...P. by
created the P,,P............, and joined them to
depicting V2, 13, 14,...
Fig. 1.9: Construeting
square root spiral
beautiful
spiral
Remai
Divisc
In the same way, you can locate vn for any positive integer n, after n-1 has been
State whether the following statements are true or false. Justify your answers.
(Ü) Every point on the number line is of the form m, where mis ar
Are the square roots of all positive integers irrational? If not, give an example of the
drawing a line segment of unit length perpendicular to OP. In this manner, you will​

Answer 1

Step-by-step explanation:

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