Find the value of a so that the term independent of `x` in `(sqrt(x)-k/(x^2))^(10)` is`405` .

Explanation

To find the value of \( a \) such that the term independent of \( x \) in the expression \( \left( \sqrt{x} - \frac{k}{x^2} \right)^{10} \) is equal to \( 405 \), we can follow these steps:

### Step 1: Identify the general term
The general term \( T_{r+1} \) in the binomial expansion of \( (a + b)^n \) is given by:
\[ T_{r+1} = \binom{n}{r} a^{n-r} b^r \]
In our case, \( a = \sqrt{x} \) and \( b = -\frac{k}{x^2} \), and \( n = 10 \). Thus, we can write:
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