I. ` x = sqrt(625)`
II. ` x = sqrt(676)`

Options

A. if ` x ge y,`i.e., x is greater than or equal to y.
B. if `x gt y`, i.e., x is greater than y.
C. if ` x le y`, i.e., x is less than or equal to y.
D. x = y or no relation can be established between x and y

Explanation

To solve the equations given in the question, we will evaluate each square root and then analyze the relationship between the two variables \( x \) and \( y \).

### Step 1: Calculate \( x \)
We start with the equation:
\[ x = \sqrt{625} \]
To find \( x \), we need to determine the square root of 625.

### Step 2: Find the square root of 625
The square root of 625 can be calculated as follows:
\[ \sqrt{625} = 25 \]
Thus, we have:
\[ x = 25 \]
However, since we are dealing with square roots, we also consider the negative root:
\[ x = \pm 25 \]

### Step 3: Calculate \( y \)
Next, we evaluate the second equation:
\[ y = \sqrt{676} \]
To find \( y \), we need to determine the square root of 676.

### Step 4: Find the square root of 676
The square root of 676 can be calculated as follows:
\[ \sqrt{676} = 26 \]
Thus, we have:
\[ y = 26 \]
Again, considering the negative root, we have:
\[ y = \pm 26 \]

### Step 5: Analyze the relationship between \( x \) and \( y \)
Now we have:
- \( x = \pm 25 \)
- \( y = \pm 26 \)

Since \( x \) can take values of \( 25 \) or \( -25 \) and \( y \) can take values of \( 26 \) or \( -26 \), we can conclude that there is no direct relationship between \( x \) and \( y \) in terms of equality or proportionality.

### Final Conclusion
Thus, we cannot establish a direct relationship between \( x \) and \( y \).