Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

<h3>What is a mixed number?</h3>
A mixed number is represented by an integer part and a fractional part, as follows:
a b/c.
In which:
- b/c is the fractional part.
In this problem, the numbers are given as follows:

The mixed number is:
100 and 2/8 = 100 + 0.25 = 100.25.
The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

More can be learned about mixed numbers at brainly.com/question/1746829
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The Answer Is 14/15 Hope This Helps.