irrational

Determine the following number is rational or not, if it is irrational,prove your result, if it is rational, simply to fractional expression:x = √3/2

John Wallis and other 17th century mathematicians were struggling with how to fit negative numbers into arithmetic without introducing inconsistencies. Explain the reasoning leading to Wallis's paradoxical claim that, if negative numbers are less than zero, they must be greater than infinity. Wallis's argument depends, in part, on the assertion that (3/-1) = -3. Must this be true? Why or why not? If a student proposed Wallis's argument, how would you respond?

Please give me ONLY Handwritten answer   prove by contradiction 4+3√2 is irrational. must use definition of rational

Prove the statement by contradiction: The square root of 2  divided by 2 is an irrational number.

Answer the following: A. Determine if the given statement is true or false, and justify your answer using truth value formulas: "If the dog is not an animal, then the cat is also not an animal." Consider the statements: P: √2 is rational, Q: 1/2 is rational, R: √3 is rational B. Explain and why (PAQ) → R (PAQ) → R (PAQ) → R (PVQ) → R