To find a rational number between √17 and √18, we can take the average of the two numbers.
Average = (√17 + √18) / 2
Using a calculator, we find that (√17 + √18) is approximately 8.9435.
Dividing this by 2, we get 4.4718.
Therefore, a rational number with one decimal place that is between √17 and √18 is approximately 4.5.
Find a rational number with one decimal place that is between 17−−√ and 18−−√.(1 point)
3 answers
thats not right
Apologies for the incorrect response.
Let's try another approach. We can rewrite the square roots in decimal form approximations and then find a rational number between them.
√17 ≈ 4.123
√18 ≈ 4.243
Since we're looking for a rational number with one decimal place, we can take the average of these two approximations.
Average = (4.123 + 4.243) / 2 ≈ 4.183
Therefore, a rational number with one decimal place that is between √17 and √18 is approximately 4.2.
Let's try another approach. We can rewrite the square roots in decimal form approximations and then find a rational number between them.
√17 ≈ 4.123
√18 ≈ 4.243
Since we're looking for a rational number with one decimal place, we can take the average of these two approximations.
Average = (4.123 + 4.243) / 2 ≈ 4.183
Therefore, a rational number with one decimal place that is between √17 and √18 is approximately 4.2.
2 answers