Which choice represents the best rational approximation for \sqrt(35)

a. 5.9
b. 6.2
c. 6.7
d. 5.4

The best rational approximation for √35 is 5.9.

To see this, let's note that 5.9 rounded to the nearest whole number is 6, and √35 is between the perfect squares 25 and 36. Since √35 is closer to 5.9 than to any of the other choices, 5.9 is the best rational approximation for √35.