Question

Represent the numbers√5,√7, and√10 on a number line​

Answer 1

Answer:

Step-by-step explanation:(i) Steps of construction for  

5

​

 

Step 1: Draw a number line. Mark O as the zero on the number line.

Step 2: At point A, draw AB⊥OA such that AB=1 unit.

Step 3: With point O as the centre and radius OB, draw an arc intersecting the number line at point P.  

Thus, P is the point for  

5

​

 on the number line.

(Refer image: Pic 3.1)

(i) Steps of construction for  

10

​

 

Step 1: Draw a number line. Mark O as the zero on the number line.

Step 2: At point A, draw AB⊥OA such that AB=1 unit.

Step 3: With point O as the centre and radius OB, draw an arc intersecting the number line at point C.  

Thus, C is the point for  

10

​

 on the number line.

(Refer image: Pic 3.2)