Question

Locate √3 on number line.​

Answer 1

• Construct BD of 1 unit length perpendicular to OB as fig. Join OD

• By Pythagoras theorem, OD= (√ 2 ) +1 =2+1= 3

• Using a compass, with centre O and radius OD, draw an arc which

• intersects the number line at the point L right side to 0. Then ′L‘ corresponds to 3 From this we can conclude that many

• points on the number line can be represented by irrational numbers also.

• In the same way, we can locate n for any positive integers n, after n−1 has been located.

Answer 2

hope this helps you have a nice day