Home Homework Help Textbooks Test Prep Textbook Answers

Homework Help

Math
Advanced Math
problem 2 let f be the set a bv5 a...

Question: problem 2 let f be the set a bv5 a...

Question details

Problem 2. Let F be the set a bv5: a, b E Q), with the usual definitions of addition and multiplication (a) Let p-, + vs (this number is called the golden ratio). Expres y 2 and 1/p in the form a bv5 with a, b eQ (b) Prove that F is a field Note: We take it as a known fact that the usual addition and multiplication of real numbers are commutative, associative, and distributive. You can also use the fact that the square root of a prime number is irrational; this is proved the same way as the irrationality of v2.

Solution by an expert tutor

Blurred Solution

This question has been solved

Subscribe to see this solution