## Answers

Representation of √7 and √11 on the number line:

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