Question

Construct BD of 1 unit length perpendicular to OB as fig. Join OD By Pythagoras theorem, OD= ( 2 ​ ) 2 +1 2 ​ = 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 1

Answer:

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.

Explanation: