Explanation:
let's call the relationship between the 2 numbers "?".
so,
sqrt(180) ? 102/8 = 51/4
to clarify we simply square both sides (the relationship must still be the same) :
180 ? (51/4)² = 51²/4² = 2601/16
now let's bring both sides to the same denominator (bottom part of the fraction) :
180/1 = 180×16/1×16 = 2880/16
so, we have
2880/16 ? 2601/16
and we see that "?" = ">"
so,
sqrt(180) > 102/8
in explicit numbers :
13.41640786... > 12.75