Question

show the number √5 √7 √10 on the number line​

Answer 1

Answer:

Presentation of

5

on number line:

We write 5 as the sum of the square of two natural numbers:

5=1+4=1

2

+2

2

On the number line, take OA=2 units.

Draw BA=1 unit, perpendicular to OA. Join OB.

By Pythagoras theorem, OB=

5

Using a compass with centre O and radius OB, draw an arc which intersects the number line at the point C. Then, C corresponds to

5

.

Answer 2

Step-by-step explanation:

root 10 steps :

Locate root 10 on number line

Using Pythagoras theorem

We can write the √10 as below

√10 = (√9+1)

This can be written as √10 = (√32+12)

The construction steps are shown below:

Take a line segment AO = 3 units on x axis. Here consider 1 unit = 2 cm

Draw a perpendicular on O, name it as OC such that OC = 1 unit

Now, join AC with √10

Now, take A as centre and AC as radius, draw an arc which cuts the x axis at point E

The line segment AC in the below diagram represents √10 units

root 5 is shown

n root 7 is also shown