Which irrational number is between 14−−√ and 18−−√?(1 point)
Responses
13−−√
start root 13 end root
10−−√
start root 10 end root
15−−√
start root 15 end root
19−−√
start root 19 end root
To find an irrational number between √14 and √18, we can find the average of the two numbers.
The average is (√14 + √18) / 2.
Calculating the square roots gives:
√14 ≈ 3.74
√18 ≈ 4.24
Now, let's find the average:
(3.74 + 4.24) / 2 = 8.98 / 2 = 4.49
So, an irrational number between √14 and √18 is approximately √10 or "root 10".