Which irrational number is between 14−−√ and 18−−√?(1 point)
The irrational number between √14 and √18 is √16.
To find an irrational number between √14 and √18, we can use the fact that the square root of any number between a and b is also between the square root of a and the square root of b. So, we need to find an irrational number between √14 and √18.
First, let's find the square roots of 14 and 18:
√14 ≈ 3.74
√18 ≈ 4.24
Now, we need to find an irrational number between these two values. One simple way to do this is to take the average of the two square roots:
(√14 + √18) / 2 ≈ (3.74 + 4.24) / 2 ≈ 3.99
Therefore, an irrational number between √14 and √18 is approximately 3.99.
To find an irrational number between √14 and √18, we can look for a number that lies between these two values on the number line.
First, let's find the approximate decimal values of √14 and √18 using a calculator.
√14 ≈ 3.7416573867739413
√18 ≈ 4.242640687119285
Next, we can find a number that lies between these two values. Since these values are already quite close, we can take the average of them to find an irrational number between √14 and √18.
(3.7416573867739413 + 4.242640687119285) / 2 ≈ 3.992149036946613
Therefore, the irrational number between √14 and √18 is approximately 3.992149036946613.