Can any smart folks solve these problems correctly? thank you

In the following problem, you apply the rules of logic you know to programming languages used in computing. 6. In programming, you need to make decisions all the time, writing logic conditions and using logic rules as you have learned them. In languages like Python (the language used in SageMath), the Boolean logic operators are the keywords and or not corresponding to the symbols A V-you know. Assume these words in the following problems (a) Write the following using or and not: if not (A and B): (b) Write the following as simply as possible: if not ( (not A) or (not B)): (c) Write the following as simply as possible: if not (A and ((not A) or B)): 7. Prove that 44 is irrational. You may use any theorem(s) we have proved. 8. Let x be a positive integer. Prove that if x is coprime with 6 and is also coprime with 8, then x is coprime with 24. You may use any theorem(s) we have proved