Proving <msqrt> 2 </msqrt>

zato1kom7

zato1kom7

Answered question

2022-05-23

Proving 2 + 3 is irrational

Answer & Explanation

kovilovop2

kovilovop2

Beginner2022-05-24Added 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.
babajijwerz

babajijwerz

Beginner2022-05-25Added 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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