Example of Connections
How can modular arithmetic help you figure out if 2346 is a perfect square?
How can modular arithmetic help you figure out if 99416 is a perfect square?
Explain how modular arithmetic helps you find out that x2 – 5y = 27 has no integer solutions.
For what integer values of n does n3 = 9k + 7?  How does modular arithmetic help find the values?