If the term free form x in the expansion of `(sqrt(x)-m/(x^(2)))^(10)` is 405, find the value of m.

Explanation

To find the value of \( m \) such that the term free from \( x \) in the expansion of \( \left( \sqrt{x} - \frac{m}{x^2} \right)^{10} \) is 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, \( n = 10 \), \( a = \sqrt{x} \), and \( b = -\frac{m}{x^2} \).
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