As their spacecraft approached an orbital research station, Emek and Luna discovered that the navigation beacons had lost their calibration. Each beacon displayed a square root value, including √18, √25, √40, and √49, which had to be placed correctly on a digital number line before the guidance system would activate. They identified the exact values of the perfect squares and estimated the irrational square roots using nearby perfect squares. After positioning every beacon in the correct order, the navigation system synchronized, creating a safe approach corridor. Their spacecraft docked smoothly, and the research mission began without delay.