Consider the three methods of finding square roots: side and diagonal numbers; Diophantine equations; and Liu Hui's method. Compare and contrast the three methods. Your response should include the following: How rapidly is an accurate approximation produced? (In particular, how many iterations were required to produce the desired accuracy) How easy or difficult is it to set up the procedure? (You should consider what happens if you try to find other square roots using the three methods) How easy or difficult is it to extend the approximation (in other words, to repeat the process and find a more accurate approximation) Consider the three methods of finding square roots: side and diagonal numbers; Diophantine equations; and Liu Hui's method. Compare and contrast the three methods. Your response should include the following: How rapidly is an accurate approximation produced? (In particular, how many iterations were required to produce the desired accuracy) How easy or difficult is it to set up the procedure? (You should consider what happens if you try to find other square roots using the three methods) How easy or difficult is it to extend the approximation (in other words, to repeat the process and find a more accurate approximation)