Solution 1.1:4f

From Förberedande kurs i matematik 1

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Current revision (14:03, 13 September 2008) (edit) (undo)
 
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Adding 1 to <math>\pi</math> gives a number with the same decimal expansion as <math>\pi</math>, and since <math>\pi</math> is irrational
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then <math>\pi+1</math> must be irrational.
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Current revision

Adding 1 to \displaystyle \pi gives a number with the same decimal expansion as \displaystyle \pi, and since \displaystyle \pi is irrational then \displaystyle \pi+1 must be irrational.