Locate √10 on the number line.
Answers
Answer:
here is ur answer dude
Step-by-step explanation:
Take a line segment AO = 3 unit on the x-axis. ( consider 1 unit = 2cm)
Draw a perpendicular on O and draw a line OC = 1 unit.
Now join AC with √10.
Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.
The line segment AC represents √10 units.
Step-by-step explanation:
We can do it by using Pythagoras Theorem.
We can write
10
as follows:
10
=
9+1
⇒
10
=
3
2
+1
2
The construction steps are as follows:
1. Take a line segment AO=3 unit on the x-axis. (consider 1 unit = 2 cm)
2. Draw a perpendicular on O and draw a line OC=1 unit
3. Now join AC with
10
.
4. Take A as center and AC as radius, draw an arc which cuts the x-axis at point E.
5. The line segment AC in the below diagram represents
10
units.