In which section of the number line is √55?

The answer is  [A]:  "Section A:  "7.0 - 7.5" — in the figure shown" .

Explanation:

The question asks:

  "In which section of the number line is √55?"

   We know that:  7² = 49 ;  8² = 64 .

So, 7 < √55 < 8 ;  So, √55 will be in between 7 and 8.

So, √49 < √55 < √64 .

55 - 49 = 6 .

64 - 55 = 9 .

         So, there is greater difference between the radicands in
 
       √64 and √55 ;  compared to the difference in radicands  between

       √49 and √55 . 

                 This tells us that the correct answer is:

                               [A]  { in the figure shown:  "7.0 - 7.5" } ;

           rather than:  [B]:  { "7.5 - 8.0" } .