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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