The value of \( \sqrt{215} \) is between two consecutive integers. What are these two integers?

To find the two consecutive integers between which \( \sqrt{215} \) lies, we can start by identifying the perfect squares closest to 215. The perfect square \( 14^2 = 196 \) is less than 215, and \( 15^2 = 225 \) is greater than 215. Since \( 196 < 215 < 225 \), it follows that \( 14 < \sqrt{215} < 15 \). Therefore, the two consecutive integers are 14 and 15.