Disprove the statement that every positive integer is the sum of at most two squares and a cube of nonnegative integers.

Solution:Step 1In this problem we have to disprove the statement that every positive integer is the sum of at most two square and a cube of nonnegative integers.Here, to disprove this statement we will take can example and try to find whether the statement is true.Step 2To contradict the statement let us take an integer 24.Integer 24 can take square of 1, 2, 3 and 4That is Therefore square that 24 can take are 1, 2, 9 and 16.Step...