Question

(3) Represent the numbers√5 and √10 on a number line.plz tell fast
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Answer 1

Draw perpendicular AX at A on the number line and cut-off arc AB=1unit. Taking O as the centre and OB=5 as radius draw an arc cutting real line at C. Clearly, OC=OB=5 . Hence, C represents 5 on the number line.

Construction

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.

Answer 2

Answer:

We can do it by using Pythagoras Theorem.

We can write √10 = √(9 + 1)

=> √10 = √(32 + 1)                  

Construction

1. 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.