Which irrational number is between 14−−√ and 18−−√?(1 point)
The irrational number that is between $\sqrt{14}$ and $\sqrt{18}$ can be approximated by finding the average of these two numbers: $$\frac{\sqrt{14} + \sqrt{18}}{2} \approx \frac{3.74 + 4.24}{2} = 3.99$$Therefore, a possible irrational number between $\sqrt{14}$ and $\sqrt{18}$ is $\boxed{\approx 3.99}$.
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To find an irrational number between √14 and √18, we can take the average of the two square roots.
Let's calculate it step-by-step:
1. Find the square roots of 14 and 18:
- √14 ≈ 3.74
- √18 ≈ 4.24
2. Next, find the average of these two square roots:
Average = (3.74 + 4.24) / 2 ≈ 8.98 / 2 ≈ 4.49
Therefore, the irrational number between √14 and √18 is approximately 4.49.
To find an irrational number between √14 and √18, we can start by evaluating the square roots:
√14 ≈ 3.74
√18 ≈ 4.24
Next, we need to find an irrational number between these two values. One way to do this is by taking the average of √14 and √18:
(√14 + √18) / 2 ≈ (3.74 + 4.24) / 2 ≈ 4.00
Therefore, an irrational number between √14 and √18 is approximately 4.00.