How to prove <msqrt> 3

sviraju6d

sviraju6d

Answered question

2022-06-26

How to prove 3 + 2 3 is a irrational number?

Answer & Explanation

Ryan Newman

Ryan Newman

Beginner2022-06-27Added 26 answers

Assume it is rational r = 3 + 2 3 . So we have
2 = ( r 3 ) 3 = r 3 3 r 2 3 + 9 r 3 3
Regrouping and dividing by 3 r 2 + 3 0 we get
3 = r 3 + 9 r 2 3 r 2 + 3
This means 3–√ is rational.

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