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Represent√11 on number line by the spiral representation and verify by Pythagoras theorem.

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**Step-by-step explanation:**

Represent√11 on number line by the spiral representation and verify by P

ythagoras theorem.

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Ashwini kumar Aggarwal

Mar 28, 2013

Represent root 11 on the number line

represent √7 and √11 on the number line.

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Kishore Kumar

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 .