To determine the pair of rational numbers between which 38−−√ lies, we can estimate the value of the square root.
We know that 6^2 = 36, and 7^2 = 49. Since 38 is closer to 36 than it is to 49, we can estimate that the square root of 38 is closer to 6 than it is to 7.
Therefore, 38−−√ lies between 6 and 7 on the number line.
Looking at the given answer choices:
A. Between 6.3 and 6.5
B. Between 19 and 19.2
C. Between 18.9 and 19.1
D. Between 6.1 and 6.2
Only answer choice A (Between 6.3 and 6.5) includes the range between 6 and 7. Therefore, the correct answer is A.
Between which pair of rational numbers on a number line does 38−−√ lie?
A. Between 6.3 and 6.5
B. Between 19 and 19.2
C. Between 18.9 and 19.1
D. Between 6.1 and 6.2
1 answer