Question

how to represent √11 on a number line

Answer 1

 Consider the number  shown here

Mark point A at 0 and B at 1. Consider BC  ⊥ AB such that BC = 1 unit

Complete the right angled triangle ABC.

By Pythagoras theorem, 

With A as centre and radius AC draw an arc on the number line. Mark the intersecting point as P. Hence P represents 

Again at P draw PD ⊥ AP such that PD = 1 unit

In right ΔAPD, 

With A as centre and radius AD draw and arc on the number line. Mark the intersecting point as Q. Here Q represents 

Now from Q draw QE ⊥ AQ such that QE = 1 unit

In right ΔAQE, 

With A as centre and radius AE draw and arc on the number line. Mark the intersecting point as R. R represents 

continue the same way and u will get root 11