Get Answers to all your Questions

header-bg qa

Prove that 3*2^1/2 is irrational

Answers (1)

best_answer

Solution::Let us assume ,to the contrary ,that \3sqrt2 is rational . then there exist co-prime positive integers a and b such that 

    \ 3sqrt2=a/b\ \Rightarrow sqrt2=a/3b

sqrt2 is rational 

the contradicts the fact that sqrt2 is irrational . So ,our assumption is not correct

Hence ,3sqrt2 is an irrational number.

Posted by

Deependra Verma

View full answer