Find a rational number with one decimal place that is between 2
17 square root and 18 square root
To find a rational number with one decimal place that is between √17 and √18, we can approximate these irrational numbers to one decimal place.
The square root of 17 is approximately 4.1 (since 4.123105625617661 is rounded to 4.1).
The square root of 18 is approximately 4.2 (since 4.242640687119285 is rounded to 4.2).
So, we are looking for a rational number between 4.1 and 4.2. One such number is 4.15, which is between 4.1 and 4.2.
Therefore, a rational number with one decimal place that is between √17 and √18 is 4.15.
Wrong
I apologize for the mistake. To find a rational number between √17 and √18, we can look for the square root of a perfect square between 17 and 18.
The perfect squares closest to 17 and 18 are 16 and 25. Taking the square root of these numbers, we get:
√16 ≈ 4
√25 = 5
So, a rational number between √17 and √18 would be 4.5.
Therefore, a rational number with one decimal place that is between √17 and √18 is 4.5.
Wrong
I apologize for the previous incorrect response.
To find a rational number with one decimal place between √17 and √18, we can take the average of these two irrational numbers.
√17 ≈ 4.123105625617661
√18 ≈ 4.242640687119285
Taking the average of these two numbers:
(4.123105625617661 + 4.242640687119285) / 2 ≈ 4.182873156368473
Rounding this number to one decimal place, we get 4.2.
Therefore, a rational number with one decimal place that is between √17 and √18 is 4.2.
Which of the following is between pie and 11 square root
10 square root
7 square root
12 square root
8 square root
To determine which of the given numbers is between π (pi) and 11√10, we can approximate these values and compare them.
√10 ≈ 3.16
11√10 ≈ 34.76
π (pi) ≈ 3.14
Comparing these values:
π (pi) < √10 < 8√10 < 11√10
Therefore, the number that is between π (pi) and 11√10 is 8√10.