Question

Draw a number line and mark the numbers 1, –1√2 and –1√2

What is the distance between √2 and − √2?

Answer 1

Step of construction :

(i) Draw line l mark the point O, A, B, B’, A’

(ii) Draw OR ⟂ line l

(iii) Taking centre O and radius equal to OA draw an are which intersect the line OR at the point S.

(iv) Join AS i.e. AS = √2 unit

(v) Draw an arc taking centre O and radius equal to

AS which intersect the line at the point C and C’.

point A is the position of 1 unit

point A’ is the position of – 1 unit