.Let A be a set of real numbers such that A has at least four elements. Suppose A has the property that a² + be is a rational number for all distinct numbers a, b. e in A. Prove that there exists a positive integer M such that a √M is a rational number for every a in A

rational number for all distinct numbers a, b. e in A. Prove that there exists a positive integer M such that a √M is a

Check whether the statement below is true or false.“The square root of every composite number is rational.”Justify your answer by proving rationality or irrationality as applicable

Proof of 2 is an irrational number

The Rational numbers include which of the following?fractionsall square rootspositive integersnegative integers

Prove or disprove: sqrt of 2 is irrational.