Question

what are 3 non-equivalent fractions with values between the square root of 56 and the square root of 58

Answer 1

Square root of 56 = 7.483314774
square root of 58 = 7.615773106

so we just need to come up with fractions that are between about 7.4833 and 7.6158

7.5 = 7 1/2 or 15/2
7.55 = 7 11/20  or 151/20
7.6 = 7 3/5  or  38/5

15/2
151/20
38/5
are your fractions

*Note: there are many other possible answers, I was just exemplifying a few.

Answer 2

$\sqrt{56} \approx7.48\\ \sqrt{58} \approx7.62$

So these fraction can be:
$7.5=7\dfrac{5}{10}=7\dfrac{1}{2}=\dfrac{15}{2}\\ 7.56=7\dfrac{56}{100}=7\dfrac{14}{25}=\dfrac{189}{25}\\ 7.6=7\dfrac{6}{10}=7\dfrac{3}{5}=\dfrac{38}{5}$