Which of the following is an irrational number between 5 and 7: √6 , √12 , √27 , √36
To find a rational number between √17 and √18, we can take the average of the two numbers.
√17 ≈ 4.123
√18 ≈ 4.243
Taking the average:
(4.123 + 4.243) ÷ 2 = 8.366 ÷ 2 = 4.183
Therefore, a rational number with one decimal place between √17 and √18 is 4.2.
The irrational numbers between 5 and 7 are √6 and √27.
What is the largest integer whose square root is an irrational number between 3 and 4?
The largest integer whose square root is an irrational number between 3 and 4 is 10. When we calculate √10, it is approximately 3.162, which is an irrational number between 3 and 4.
Find a rational number between 2 and 2 1/4
using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we add 2 and 2 1/4 together and divide by 2.
2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4
Now we divide 17/4 by 2:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8
Therefore, a rational number between 2 and 2 1/4, using the method mentioned, is 17/8. Written as a mixed number, it is 2 1/8.
Find a rational number with one decimal place that is between √17 and √18
.
Which of the following is between π
and √11?
√12
√7
√10
√8
To determine which number is between π and √11, we can compare their approximate values:
π ≈ 3.14159
√11 ≈ 3.31662
Among the given options:
√12 ≈ 3.46410
√7 ≈ 2.64575
√10 ≈ 3.16228
√8 ≈ 2.82843
Thus, the number that is between π and √11 is √10.