Question

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

Answer 1

`√(56) \approx7.48\\ √(58) \approx7.62`

So these fraction can be:

`7.5=7(5)/(10)=7(1)/(2)=(15)/(2)\\ 7.56=7(56)/(100)=7(14)/(25)=(189)/(25)\\ 7.6=7(6)/(10)=7(3)/(5)=(38)/(5)`

Answer 2

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.