Question
Which choice represents the best rational approximation for \sqrt(35)
a. 5.9
b. 6.2
c. 6.7
d. 5.4
a. 5.9
b. 6.2
c. 6.7
d. 5.4
Answers
GPT 3.5
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.
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.