Algebraic number thoery, Prove that there are no integers

Algebraic number thoery

Assignment Help Basic Statistics

Reference no: EM13122074

Problem 1: Prove that there are no integers x, y, and z such that

x^2 +y^2 + z^2 = 999

Problem 2: Show that square root of 2 cubed is an irrational number.

Problem 3: For each of the following pairs a and b, use the division algorithm to find quotient q and remainder r.

(a) b=189, a=17

(b) b=111, a= -5

(d) b= -111, a= -4

Reference no: EM13122074

Questions Cloud

How many total moles of atoms does the sample contain : A sample of propane,C3H8, contains 13.4 moles of carbon atoms. How many total moles of atoms does the sample contain?

Illustrate what elements of the marketplace in which mega : Illustrate what elements of the marketplace in which Mega Tech operates led the organization to believe that project management would improve its operations?

Approach your writing projects differently : paying attention to audience, purpose, and content has on your writing, how will you approach your writing projects differently than you might have in the past?

How many grams of io2f are needed : How many grams of IO2F are needed to react completely with 150.0 g of BrF3? 3IO2F(s) + 4BrF3(l) → 3IF5(l) + 2Br2(l) + 3O2(g)

Algebraic number thoery : Prove that there are no integers x, y, and z such that. Show that square root of 2 cubed is an irrational number.

Find probability ten have read at least six books : In a random sample of 15 Americans 18 years old or older, find the probability that exactly 10 have read at least six books within the past year, Interpret these results.

Advantage of using a single plant wide factory : The greatest advantage to using a single plant wide factory overhead rate is:

What explanation for the decrease in emzyme : Studies conducted with a lysozome mutant that contains an Asp->Asn change at position 52 and a Glu->Gln change at position 35 exhibited almost a complete loss in emzymatic activity.

Could she successfully sue for reinstatement or pay : She moves her family to New York and begins work. Three months later, she is fired for no stated cause. Could she successfully sue for reinstatement or pay?

User Account

All Pages