Which irrational number is between 14−−√
14
and 18−−√
18
(1 point)
Responses
10−−√
10
square root of 10
15−−√
15
square root of 15
19−−√
19
square root of 19
13−−√
13
square root of 13
The irrational number between √14 and √18 is √15.
To find an irrational number between √14 and √18, we can consider the square roots of other numbers within this range. We can evaluate the square roots and determine which value falls between the given range.
Let's calculate the square roots of the numbers mentioned:
√10 ≈ 3.162
√15 ≈ 3.873
√19 ≈ 4.359
√13 ≈ 3.606
Upon comparing these values, we see that √13 falls between √14 and √18. Therefore, the irrational number between √14 and √18 is the square root of 13.