1)How do we locate square root 7 on the number line ?

Hi!

 

Hope that you have understood how to represent root 5 on the number line. For reference go figure given below the first video in this lesion. Now, draw CB ⊥ AB and CB = 1 unit (as shown in first video). Now, join OC.  The length of OC is root 6. At C, DC ⊥ AB. Join OD.  Taking O as centre and OD as radius draw an arc that intersects the number line Q (as shown in first video)

 

Here, OD = OQ = root 7.

 

Now, Q is the point on the number line that represents the number root 7.

 

 

 

 

Cheers!!!