Which irrational number is between √14 and √18?
A. √13
B. √10
C. √19
D. √15
D. √15
To determine which irrational number is between √14 and √18, we can compare the square of each option to 14 and 18.
A. √13: When squared, √13 multiplied by itself equals 13. Since 13 is less than 14, √13 is smaller than √14.
B. √10: When squared, √10 multiplied by itself equals 10. Since 10 is less than 14, √10 is smaller than √14.
C. √19: When squared, √19 multiplied by itself equals 19, which is greater than 18. Therefore, √19 is larger than √18.
D. √15: When squared, √15 multiplied by itself equals 15, which is smaller than 18, but greater than 14. Therefore, √15 is between √14 and √18.
Therefore, the correct answer is D. √15.