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if x is rational and y is irrational then show that (x+y) is always irrational​

By Kylie

if x is rational and y is irrational then show that (x+y) is always irrational​

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Kylie

Q. A farmer moves along the boundary of a square field of side 10m in 40 seconds. What will be the magnitude of displacement of th

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(Use the word in brackets in the present-perfect continuous tense form​

1 thought on “if x is rational and y is irrational then show that (x+y) is always irrational​”

  1. 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.

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