It is a fact, which we can verify by cubing, that the zeros of x 3 -
Question:
It is a fact, which we can verify by cubing, that the zeros of x3 - 2 in Q are
where 3√2, as usual, is the real cube root of 2.
Describe all extensions of the identity map of Q to an isomorphism mapping Q(3√2) onto a subfield of Q̅.
Transcribed Image Text:
a₁ = 32, -1+i√3 2 α/₂ = 3/2= and α3 = 32. ܚ . -1-i√3 2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (11 reviews)
The extensions are the ...View the full answer
Answered By
Caroline Kinuthia
Taking care of the smaller details in life has a larger impact in our general well being, and that is what i believe in. My name is Carol. Writing is my passion. To me, doing a task is one thing, and delivering results from the task is another thing. I am a perfectionist who always take things seriously and deliver to the best of my knowledge.
4.90+
1934+ Reviews
4273+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
It is a fact, which we can verify by cubing, that the zeros of x 3 - 2 in Q are where 3 2, as usual, is the real cube root of 2. Describe all extensions of the automorphism 3,-3 of Q(3) to an...
-
It is a fact, which we can verify by cubing, that the zeros of x 3 - 2 in Q are where 3 2, as usual, is the real cube root of 2. Describe all extensions of the identity map of Q to an isomorphism...
-
It is a fact that 513,239 x 194,841 = 0.18181818... Using the preceding multiplication fact to find the exact decimal representations of 1/513,239 and 1/194,841. If the decimal representation is...
-
Mexico discovers huge reserves of oil and starts exporting oil to the United States. Describe how this would affect the following. a. The nominal pesoU.S. dollar exchange rate. b. Mexican exports to...
-
Identify the characteristics of useful information.
-
Suppose we want to compute a two-sided p-value for this comparison. Without doing any further calculation, which statement(s) must be false? (1) p = .01 (2) p = .04 (3) p = .07 (4) p = .20 (The...
-
Assume the following information: Based on this information, is covered interest arbitrage by U.S. investors feasible (assuming that U.S. investors use their own funds)? Explain. Spot rate of $1.60...
-
Assume that Nantucket Nectars reports the following costs to make 17.5 oz. bottles for its juice cocktails: Another manufacturer offers to sell Nantucket Nectars the bottles for $.25. The capacity...
-
Find the bearing from the origin to A for the given value of 0. 0=31 S31W S59W S31E O S5 E
-
Using the formula for (n) in terms of the factorization of n, as given in Eq. (1), compute the indicated value: a. (60) b. (l000) c. (8100)
-
Let F be a field, and let f(x) = ax 2 + bx + c be in F[x], where a 0. Show that if the characteristic of F is not 2, the splitting field of f (x) over F is F(b - 4ac)
-
What is the deadline for making a contribution to a traditional IRA or a Roth IRA for 2020? a. April 15, 2021 b. July 15, 2020 c. December 31, 2020 d. October 15, 2021
-
5. There are 100 deer in a forest. The population of deer follows the logistic growth model: P P(0) = 100 K where P(t) is the population of deer at time t and K is a constant (capacity). (a) The...
-
1. The following is a list of balances extracted from the ledger accounts of Best Bake, a small pastry shop, at its year end, 31 December 2017. (a) Inventories 25 000 Accounts payable 54 500...
-
Identify and discuss some of the advantages and disadvantages of being an entrepreneur. Which advantage would be the most important to you? Explain. Which disadvantage do you feel is the greatest...
-
Look up the definition from the ISBE website for each of these components of the law and explain in detail. ISBE https://www.isbe.net/Pages/English-Learners-Legislation-Rules-and-Guidance.aspx...
-
As a new senior accountant of Ferndale Rugs, Inc., an exotic rug manufacturer, you have taken on the new responsibility of variance analysis for the company. During your monthly analysis, the...
-
Differences in operating profit between variable and absorption costing are due solely to accounting for fixed costs. Do you agree? Explain.
-
If the cylinder described in Problem 21.3 were initially heated to 500F, how long would it take for the center of the cylinder to cool to 240F if it were constructed of a. Copper? b. Brass? c. Nickel?
-
State the null and alternative hypotheses to be investigated with this study. (You may use the symbol to represent these parameters.)
-
Reconsider the previous two exercises. There were actually three categories of the response variable. The response it depends had been classified as not trusting people in Exercise Table 8.CE.9 but...
-
Reconsider the previous two exercises. Students at Cal Poly collected data from their classmates and produced the following two-way table of counts: a. Produce a segmented bar graph to display these...
-
Yolanda tiene una tienda de productos de computacin, su objetivo principal es poder mantener econmicamente a su familia, pues la venta de computadoras es un buen negocio. La situacin mostrada de...
-
The income statement of Novak Co. for the month of July shows net income of 3,280 based on Service Revenue 7,750, Salaries and Wages Expense 2,920, supplies expense 930, and Utilities Expenses 620....
-
Soru -2- Aadaki ilemleri banka ve merkez bankas bilanolarnda t tablolar ile gsteriniz. 1 - Mteri A Bankasndaki senetleriyle bir araba satn alyor. 2 - A Bankas B Bankasndan FED Fonlarn bor alyor. ki...
Study smarter with the SolutionInn App