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ArbitrLikvidat [17]
2 years ago
13

In which section of the number line is √55?

Mathematics
1 answer:
Luden [163]2 years ago
4 0
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" } .
________________________________________________

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