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Mathematics, 20.02.2020 22:34 araminaara691

Show that sum, difference, product and quotient of two rational numbers are still rational, that is, for any x, y ∈ Q, show that x + y, x − y, xy, x y are rational numbers. (2) Show that √ p is irrational for any prime number p. (3) Use (1) and (2) to show that √ 2 + √ 3 is irrational.

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