Directions: What approximate value should come in place of question mark (?) in the following questions? (Note: You are not expected to calculate the exact value)

\(\sqrt[2]{{2230}} = ?\)

A 54

B 59

C 41

D 37

E 47

Solution

Correct Answer: Option E

\(\begin{array}{l} \sqrt[2]{{2230}}\\ = \;\sqrt[2]{{2209 + 11}}\\ = \;\sqrt[2]{{{{47}^2} + 11}}\\ \approx \;\sqrt[2]{{{{47}^2}}} \end{array}\)

≈ 47

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