Which irrational number is between √14 and √18
√ 15
√19
√10
√13
√15
To determine which irrational number is between √14 and √18, we can calculate the approximate values of these square roots:
√14 ≈ 3.7416573868
√18 ≈ 4.2426406871
Now, we can compare these values with the given options:
√15 ≈ 3.8729833462 (between √14 and √18)
√19 ≈ 4.358898944 (greater than √18)
√10 ≈ 3.1622776602 (less than √14)
√13 ≈ 3.6055512755 (between √14 and √18)
Therefore, the irrational number that is between √14 and √18 is √15.
To determine which irrational number is between √14 and √18, you can evaluate the square roots of the given numbers and compare them.
The square root of 14 is approximately 3.7417, and the square root of 18 is approximately 4.2426.
Now, let's evaluate the square roots of the options given:
- √15 is approximately 3.8729.
- √19 is approximately 4.3589.
- √10 is approximately 3.1623.
- √13 is approximately 3.6056.
Comparing these values, we find that the only square root between √14 and √18 is √15, which is approximately 3.8729. Therefore, the correct answer is √15.