Question

which irrational number is between radical 14 and radical 18
A. radical 10
B. radical 13
C. radical 15
D. radical 19

Answer 1

To find an irrational number between \(\sqrt{14}\) and \(\sqrt{18}\), we start by calculating the approximate decimal values of these square roots:

- \(\sqrt{14} \approx 3.74\)
- \(\sqrt{18} \approx 4.24\)

Next, we can check the options given:

A. \(\sqrt{10} \approx 3.16\) (not between \(\sqrt{14}\) and \(\sqrt{18}\))

B. \(\sqrt{13} \approx 3.61\) (not between \(\sqrt{14}\) and \(\sqrt{18}\))

C. \(\sqrt{15} \approx 3.87\) (this is between \(\sqrt{14}\) and \(\sqrt{18}\))

D. \(\sqrt{19} \approx 4.36\) (not between \(\sqrt{14}\) and \(\sqrt{18}\))

Thus, the answer is C. \(\sqrt{15}\).