Prove any prime number is irrational, Mathematics

1. Show that there do not exist integers x and y for which 110x + 315y = 12.

2. If a and b are odd integers, prove that a2 +b2 is divisible by 2 but is NOT divisible by 4. Hint:

Any odd number can be written 2k + 1 for some integer k.

3. Prove that for any prime number p, √ p is irrational. Hint: Follow the same method that was used to prove √ 2 is irrational, by first supposing √ p can be expressed as a=b.

 

Posted Date: 3/20/2013 3:28:56 AM | Location : United States







Related Discussions:- Prove any prime number is irrational, Assignment Help, Ask Question on Prove any prime number is irrational, Get Answer, Expert's Help, Prove any prime number is irrational Discussions

Write discussion on Prove any prime number is irrational
Your posts are moderated
Related Questions
Question Write a short note on the following: 1 The weekly salaries of a group of employees are given in the following table. Find the mean and standard deviation of the

Multiple Linear Regression Models There are situations whether there is more than one factor which influence the dependent variable Illustration Cost of production weekl

I need help with my calculus

The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

what are fractions

approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0

to use newspaper and report on share and dividend

A rectangles lenth is (x+4) and width is (x+3).By adding binomials give its perimiter

111111-11111=

Q. Show Inverse Trigonometric Functions? Ans. Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'.