What irrational number is between √14 and √18?
To find an irrational number between √14 and √18, we need to find a square root that is between these two values. Since 14 and 18 do not have exact square roots, we can estimate their values.
√14 ≈ 3.74
√18 ≈ 4.24
Therefore, a rational number between √14 and √18 could be 4. However, since the question asks for an irrational number, we need to find an irrational number that lies between these two values.
One example of an irrational number that lies between √14 and √18 is:
√15 ≈ 3.87
So, √15 is an irrational number that is between √14 and √18.
To find an irrational number between √14 and √18, we can approximate the square roots of these numbers and then find a value that lies between them.
Approximating the square roots:
√14 ≈ 3.74
√18 ≈ 4.24
An irrational number that lies between these two values is √15. To calculate its value:
√15 ≈ 3.87
Therefore, an irrational number between √14 and √18 is approximately √15 ≈ 3.87.