Proving <msqrt> 2 </msqrt>

zato1kom7 2022-05-23 Answered
Proving 2 + 3 is irrational
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Answers (2)

kovilovop2
Answered 2022-05-24 Author has 7 answers
Note that 2 = 1 2 ( 2 + 3 1 2 + 3 ) Q , hence 2 + 3 Q
or,
Suppose 2 + 3 is rational, then so is ( 2 + 3 ) 2 = 5 + 2 6 . Hence, 6 is rational which is of course not true.
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babajijwerz
Answered 2022-05-25 Author has 2 answers
Assume that 2 + 3 = p q p , q Z . Then 3 = p q
Squaring gives 2 = which is a contradiction since 2 Q
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