Q. 34.1( 730 Votes )

# Show how √5

Steps of construction:

Step 1: Let AB be a line of length 2 unit on the number line.

Step 2: At B, draw a perpendicular line BC of length 1 unit and then join CA.

Step 3: Now, ABC is a right angled triangle.

Using Pythagoras theorem,

AB2 + BC2 = CA2

22 + 12 = CA2

CA2 = 5

CA = √5

Thus, CA is a line of length √5 units.

Step 4: Taking CA as a radius and A as the center, construct an arc touching the number line.

The number line gets intersected by the arc at a point which is at √5 distance from  0,  as it is a radius of the circle with center A

Thus, √5 is represented on the number line as shown in the figure below.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Number System Quiz- Tip to Toe46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

If x is rational RS Aggarwal & V Aggarwal - Mathematics

If <img widRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

The value of <spaRD Sharma - Mathematics

If x =<spaRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

If x = 3+<RD Sharma - Mathematics

The decimal repreRS Aggarwal & V Aggarwal - Mathematics

An irrational numRS Aggarwal & V Aggarwal - Mathematics