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

Ask an Expert

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

Write your message here..

Related Questions

Slope, #question.Find the slope of the line that passes through (7, 3) and ... #question.Find the slope of the line that passes through (7, 3) and (9, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer. .

Compound interest, Draw a flowchart for accumulated principal at the end of... Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?

Find out the product of 5.2 × 10^3 and 6.5 × 10^7, Find out the product of ... Find out the product of 5.2 × 10 3 and 6.5 × 10 7 . Write your answer in scientific notation. To multiply numbers written within scienti?c notation,  multiply the ?rst numbers

Percentage, how do you you find 40% if you 35 out of 40 how do you you find 40% if you 35 out of 40

Negative and positives, in 1970 a record 1.5 of rain fell in one minute at ... in 1970 a record 1.5 of rain fell in one minute at Basse Terre, guadaloupe in the caribbnean.at this rate, how much rain fell in 3 seconds or 0.05 of a minutes?

Example of log rules, Example of Log Rules: Y = ½ gt 2 where g = 32 ... Example of Log Rules: Y = ½ gt 2 where g = 32 Solution: y = 16 t 2 Find y for t = 10 using logs. log y = log 10     (16 t 2 ) log 10 y = log 10 16 + log 10

Linear Systems, Find the solution to the following system of equations usin... Find the solution to the following system of equations using substitution:

Chi-square hypothesis tests as non-parametric test(x2), Chi-square hypothes... Chi-square hypothesis tests as Non-parametric test(X2) They contain amongst others i.    Test for goodness of fit ii.   Test for independence of attributes iii.  Test

Describe real numbers, Q. Describe Real numbers? Ans. There are a ... Q. Describe Real numbers? Ans. There are a few different ways to describe real numbers. Without going into any of the very technical definitions used by mathematicians, I'

Jason 10 two-point or 2 three-point how many points score, Jason made 10 tw... Jason made 10 two-point baskets and 2 three-point baskets within Friday's basketball game. He did not score any other points. How many points did he score? Find out the number