Question

Represent q/under root 11 on the number line.

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 .
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Kishore , Student
Member since Dec 10 2008
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 .