The square root of the number 5476 is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 74
The last digit of a square shows the possible last digits of its root, and the leading digits fix its size.
5476 ends in 6, so the root ends in 4 or 6 (\(4^2=16\), \(6^2=36\))
\(70^2=4900\) and \(80^2=6400\), so the root lies between 70 and 80: it is 74 or 76
\(75^2=5625\) is more than 5476, so the root is below 75: 74 (\(74^2=5476\))