Question

Represent 1+√3 on number line...

Answer 1



1

Secondary SchoolMath8 points

Represent 1+ROOT3 on number line

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Ask for details FollowReport byCu5ranarashariya 02.09.2016

Answers



toptekAmbitious

This will be a 2 step process.

In the first step (as shown in figure 1), we will produce the point 1 +√2 on the number line.
We take distance 1 from the origin (which will be our 1st point). We will then taken another point at distance 2 from the origin. This will be our 2nd point. We will then draw a perpendicular to X axis (of length 1) the end point of which will be our 3rd point. Now points 1, 2 and 3 form a right angled triangle and we can say that the hypotenuse will be √2 in measure. We draw a curve with point #1 as center and √2 as radius. The point where this curve and X axis meet will be 1 + √2

Now, lets go to the second step (figure 2).
Point 1 from the previous figure stays as is. The point 1 + √2 (as obtained above) becomes our 2nd point. We draw a perpendicular 1 unit tall to get our 3rd point. Once again we have a right angled triangle and we can say that the hypotenuse will be √3 in measure. We draw a curve with point #1 as center and √3 as radius. The point where this curve and X axis meet will be 1 + √3.

This is how we show 1 + √3 on the number line.

 he and also the height as 1. and in the second step we will produc