If the term free from `x` in the expansion of `(sqrt(x)-k/(x^2))^(10)` is `405` , find the value of `kdot`

Explanation

To solve the problem, we need to find the value of \( k \) such that the term free from \( x \) in the expansion of \( \left(\sqrt{x} - \frac{k}{x^2}\right)^{10} \) is equal to 405.

### Step-by-Step Solution:

1. **Identify the General Term**:
The general term \( T_r \) in the expansion of \( (a + b)^n \) is given by:
\[
T_r = \binom{n}{r} a^{n-r} b^r
...