Question

represent the number √5 and √10 on a number line

Answer 1

√10:

Take a line segment AO = 3 unit on the x-axis. (consider 1 unit = 2cm)

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 represents √10 units.

√5:

√5 = √(4+1)

Here 4 and 1 both are perfect square number as √4 = 2 and √1 = 1

So draw right triangle with side 2 and 1

And according to Pythagoras theorem hypotenuse will √(22+12) = √5

Then draw an arc of √5 on number line