Math Chapter Wise question with answer

Q01 Let Q be the field of rational numbers. Then over Q, 2 + 3 is algebraic of degree English · UPPSC GDC 2021 Q02 Let p be a prime number. How many distinct sub-rings (with unity) of cardinality p does the field Fp2 have? English · Bihar (TRE 1.0) -2023 Q03 Let p be a prime number, then f (x) = xp – 1∈ Q [x] has splitting field Q (α), if English · UPPSC GDC 2021 Q04 Let F be a field of integers modulo 11, then the polynomial x2 + x + 4 English · UP Higher Asst. Prof. 2021 Q05 Let the sets of rationals and reals numbers be denoted by Q and R respectively. Choose the correct answer. English · UP Higher Asst. Prof. 2021 Q06 Let * be a binary operation defined on the set of positive rational number Q+ by the rule a*b ab, a,b Q 3 + = ∀ ∈ =... English · LT 2018