To find the difference between 777 and its nearest perfect square:
- First, identify the perfect squares near 777.
- Calculate the square root of 777 approximately:
\(\sqrt{777} \approx 27.87\) (since \(27^2 = 729\) and \(28^2 = 784\))
- Now check the difference between 777 and the nearest perfect squares:
\(777 - 729 = 48\)
\(784 - 777 = 7\)
- The nearest perfect square to 777 is 784.
- The difference between 777 and 784 is 7.
Therefore, the difference is 7.
Hence, the correct answer is option (B) 7.