To solve this problem, we need to find two rational numbers between which the square root of 38 lies.
Let's find the square root of 38. Using estimation, we know that 6^2 = 36 and 7^2 = 49. Therefore, the square root of 38 lies between 6 and 7.
Now, let's find two rational numbers between 6 and 7 by using decimal values:
A. Between 6.3 and 6.5: These numbers are closer to 6, so we can eliminate this option.
B. Between 19 and 19.2: These numbers are much larger than the square root of 38, so we can eliminate this option.
C. Between 18.9 and 19.1: These numbers are also much larger than the square root of 38, so we can eliminate this option.
D. Between 6.1 and 6.2: These numbers are closest to 6, so this is the correct option.
Therefore, the square root of 38 lies between 6.1 and 6.2.
Answer: D. Between 6.1 and 6.2
Between which pair of rational number on a number line does sqrt(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