Q14·Section II (Mathematics)·14 of 145Q[2]\mathbb{Q}[\sqrt2]Q[2] sits inside R⊂C\mathbb{R}\subset\mathbb{C}R⊂CWhich of the following statements is false for Q[2]\mathbb{Q}[\sqrt2]Q[2] and Z[2]\mathbb{Z}[\sqrt2]Z[2]? OptionsAThere are infinitely many units in Z[2]\mathbb{Z}[\sqrt2]Z[2]BQ[2]\mathbb{Q}[\sqrt2]Q[2] is not a subfield of complex numbersCQ[2]\mathbb{Q}[\sqrt2]Q[2] is isomorphic to Q[x]/(x2−2)\mathbb{Q}[x]/(x^2-2)Q[x]/(x2−2)DThere are infinitely many primes in Z[2]\mathbb{Z}[\sqrt2]Z[2]Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q13All questionsQ15 →Keyboard: A–D answer · S solution · ←/→ previous/next