Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses
10−−√
13−−√
15−−√
19−−√
15−−√
How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
an infinite number
six numbers
twenty-eight numbers
four numbers
an infinite number
To find the irrational number between √14 and √18, we can calculate the square root of both numbers.
√14 ≈ 3.74
√18 ≈ 4.24
The only option provided that lies between these two values is √15.
Therefore, the irrational number between √14 and √18 is 15−−√.
To determine which irrational number is between √14 and √18, we can find the square roots of both numbers and compare them.
The square root of 14 is approximately 3.742 and the square root of 18 is approximately 4.243.
To find the irrational number between these two values, we need to find a value between 3.742 and 4.243.
Among the listed options, 15−−√ is the closest to this range.
Therefore, the irrational number between √14 and √18 is 15−−√.