Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. (a) prove that q(sqareroot 5)={a+b sqareroot 5 ; a

(a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is a subring of Z. (b)...

50.1K

Verified Solution

Question

Advance Math

(a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is asubring of Z.

(b) Show that Q(sqareroot 5) is a conmutative ring.

(c) Show that Q(sqareroot 5) has a multiplicative identity.

(d) show that Q(sqareroot 5) is a field.(Hint : you want tomulitply something by he conjugate.)

(Abstract Algebra)

Answer & Explanation Solved by verified expert
4.5 Ratings (1175 Votes)
any    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

Select the correct answer A drought killed all the plants in an agricultural farmland Gradually...

Basic Math
1.2K views

An airplane is sighted at the same time by two ground observers who are 3...

Basic Math
1.2K views

What steps do you need to take to solve the equation 1/2x+6=18?Choose the correct answer...

Statistics
1.2K views

NASA is conducting an experiment to find out the fraction of people who black out...

Calculus
1.2K views

Use logarithmic differentiation to find the derivative of the function.y = (3x+1)(x?-6) Use logarithmic...

Calculus
1.2K views

Consider the given function m x x 2 1 a Determine whether the graph of...

Calculus
1.2K views

The period of y cos4x is TT 2 O 2 T

Accounting
1.2K views

Complete the table below to describe each cost behavior as either fixed (F) or variable...

Accounting
1.2K views

Required information [The following informanion opplies to the questions disployed below] Bunnell Corporation is a...

Accounting
1.2K views

Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power...

Accounting
1.2K views

The following information is from a manufacturing company. Process time Inspection time Move time Wait...

Accounting
1.2K views

On August 8, 2017, Leon's Kitchen Hut bought a set of pots with a $126...