Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:
(i) `2x^2-3x+5=0`
(ii) `3x^2-4sqrt(3)x+4=0`
(iii) `2x^2-6x+3=0`

Explanation

To find the nature of the roots of the given quadratic equations and to determine the real roots if they exist, we will follow these steps:

### Step 1: Identify the coefficients
For a quadratic equation in the form \( ax^2 + bx + c = 0 \), we need to identify \( a \), \( b \), and \( c \).

### Step 2: Calculate the discriminant
The discriminant \( D \) is given by the formula:
\[
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