Question

In which section of the number line is √55?

Answer 1

The answer is  [A]:  "Section A:  "7.0 - 7.5" — in the figure shown" .
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Explanation:
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The question asks:
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  "In which section of the number line is √55?"
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   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 . 
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                 This tells us that the correct answer is:
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                               [A]  { in the figure shown:  "7.0 - 7.5" } ;
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           rather than:  [B]:  { "7.5 - 8.0" } .
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