Question

how to represent 2+√3 on number line with explanation
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Answer 1

Answer:

Simple method: sqrt (3) = 1.732 (approx).

2 + sqrt(3) = 3.732. Draw a point at location which approximately represents 3.732. (point Q in fig. 1). This represents number (2+ sqrt3).

Answer 2

Steps of construction:-

1. First of all draw a number line and measure each unit.

2. Draw √2 on number line.

3. Make a perpendicular line of 90° on the end point of √2.

4. Measure one unit of number line and make an arc on perpendicular line and name it point O.

5. Join the point O and Point 0 on the number line.

6. Measure the joined line of Point 0 and point O.

7. Now make an arc from Point O towards the positive side of number line.

8. You will get √3 on the number line. Now extend √3 by 2 units on the number line.

9. Now you have √3+2.

Note:-

Draw all 90° angle by Compass.