Question

Represent √2,√3and √5 on the lear line

Answer 1

1 - In representations of fractions on a number line we can show fractions on  number line. In order to represent 1/2 on the number line, draw the number line and mark a point A to represent 1.

2- Now, divide the gap between O and A into two equal parts. Let T be the point of division. Then, point T represents 1/2.
                                  
                                  
3- 
To represent 1/3 on a number line, we divide the gap between O and A into 3 equal parts. Let T and Q be the points of division. Then, T represents 1/3 and Q represents 2/3, because 2/3 means 2 parts out of 3 equal parts as shown below.
            
                   
                                
4- 
By using the same procedure, point O represents 0/3 and point A represents 3/3. Thus, we have 0/3 = 0 and 3/3 = 1.
                                       
                                
5- In order to represent 3/5 on a number line, we divide the gap between 0 and 1 into 5 equal parts and take first 3 parts from 0 as shown below
                                            

Fraction 3/5 on a Number Line