if x is rational and y is irrational then show that (x+y) is always irrational About the author Kylie
answer is Y Step-by-step explanation: x+y = p/q therefore m/n + y = p/q therefore y =p/q – m/n Therefore y = np – mq / nq also so y can be written in a fraction =Y is Rational But we initially asserted that y was irrational and hence we have a contradiction, and so the sum x+y cannot be rational and hence it must be irrational, QED. Reply
answer is Y
Step-by-step explanation:
x+y = p/q
therefore m/n + y = p/q
therefore y =p/q – m/n
Therefore y = np – mq / nq
also so y can be written in a fraction =Y is Rational
But we initially asserted that y was irrational and hence we have a contradiction, and so the sum x+y
cannot be rational and hence it must be irrational, QED.