Question

13th QUESTION
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Answer 1

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 



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 till you get  and .