Find the term independent of x in the expansion of `(root(3)(x) + 1/(2root(3)(x)))^(18),xgt0`

Explanation

To find the term independent of \( x \) in the expansion of \( \left(\sqrt[3]{x} + \frac{1}{2\sqrt[3]{x}}\right)^{18} \), we will follow these steps:

### Step 1: Write 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, \( a = \sqrt[3]{x} \) and \( b = \frac{1}{2\sqrt[3]{x}} \), and \( n = 18 \). Therefore, we have:
...