Two positive integers differ by 60. The sum of their square roots is the square root of an integer that is not a perfect square. What is the maximum possible sum of the two integers

After the experience with great britain having a monarchy, the united states realized that everyone needed to have a voice in the government. the fact that americans had no voice was the main reason for the war. thus, they created a democracy, where the people voted for their representatives and the government ruled with the consent of the people.