TED-Ed: Can you solve the giant cat army riddle? - Dan Finkel

A team of secret agents must solve a puzzle to escape Dr. Schrödinger's trap. The control panel has three buttons: add 5, add 7, and take the square root. The goal is to display the numbers 2, 10, and 14 in order without repeating numbers, exceeding 60, or showing non-whole numbers. The agents use strategic additions and square roots to solve the puzzle and escape, ultimately capturing Dr. Schrödinger.

What happens if the control panel displays the same number more than once?

Describe the steps taken to reach the number 10 from the starting point.