1. For each of the statement below, decide whether it is true or false, and prove your claim. (a) For all a, b R, if a € Q \ {0} and b & Q then % & Q. (b) For all x, y € R, if x is irrational and y is positive and irrational, then x + √y is irrational.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. For each of the statement below, decide whether it is true or false, and prove your
claim.
(a) For all a, b € R, if a € Q \ {0} and b & Q then † ‡ Q.
(b) For all x, y € R, if x is irrational and y is positive and irrational, then x + √y is
irrational.
Transcribed Image Text:1. For each of the statement below, decide whether it is true or false, and prove your claim. (a) For all a, b € R, if a € Q \ {0} and b & Q then † ‡ Q. (b) For all x, y € R, if x is irrational and y is positive and irrational, then x + √y is irrational.
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