AMC 10 2025 Part B Problem 18

What is the ones digit of the sum

\left\lfloor \sqrt[k]{1}\right\rfloor + \left\lfloor \sqrt[k]{2}\right\rfloor + \left\lfloor \sqrt[k]{3}\right\rfloor + \cdots + \left\lfloor \sqrt[k]{2025}\right\rfloor?

(Recall that \lfloor x\rfloor denotes the greatest integer less than or equal to x.)

Answer Choices:

A. 1

B. 2

C. 3

D. 5

E. 8