関連ワード:  prove that 2 3 4 is an irrational number given that 3 is an irrational number    prove that 2 √ 3 4 is an irrational number given that √ 3 is an irrational number    prove that 2 root 3 minus 4 is an irrational number given that root 3 is an irrational number  
結果 : prove that 2 3 4 is an irrational number given that 3 is an irrational number