Question

2.
Are the square roots of all positive integers irrational? If not, giv
square root of a number that is a rational number.
3.
Show how 15 can be represented on the number line.
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 O 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 PP, perpendicular to OP, Then draw a line
segment PZP, perpendicular to OP,. Continuing in
Fig.
this manner, you can get the line segment P P by
drawing a line segment of unit length perpendicular to OP
have created the points P2, P3,...., P... ., and joined them to
n-1n
n-​

Answer 1

Answer:

2. No

Step-by-step explanation:

the square roots of all positive integers are not irrational.

For example, √4 = ± 2 which indicates that either 2 or -2 can be the square root of 4.

We see that both 2 and -2 are rational numbers because they can be expressed as 2/1 and -2/1 respectively.