Tuesday

March 31, 2015

March 31, 2015

Posted by **Jason** on Monday, January 14, 2008 at 6:05pm.

- Math -
**Count Iblis**, Monday, January 14, 2008 at 6:34pmIrrational numbers are numbers that cannot be written as a fraction. E.g. sqrt(2) cannot be a fraction p/q:

sqrt(2) = p/q --->

p^2/q^2 = 2 --->

p^2 = 2 q^2

Factor both sides in prime factors. The number p has a certain number of factors, p^2 has double that number, so the left hand side contains an even number of prime factors. By the same reasoning q^2 also contains an even number of prime factors, so 2 q^2 contains an odd number of prime factors as 2 is a prime number. But this means that p^2 can never equal 2 q^2!

- Math -
**Jason**, Monday, January 14, 2008 at 6:37pmHURRY PLEASE

**Answer this Question**

**Related Questions**

irrational numbers?! - what are rational and irrational numbers?? i know that ...

math - Which statement is true? A. All irrational numbers are also rational ...

Math - Are there more rational or irrational numbers? I am thinking irrational, ...

Algebra - 28. Use the Distributive Property to simplify x(4x^2 + x + 4) Is it 4x...

math - hi i need help with rational and irrational numbers. i just need to know ...

math - Keyshia said that one of the following numbers is IRRATIONAL. Which ...

math - Keyshia said that one of the following numbers is IRRATIONAL. Which ...

Math Logic - If there are as many rational numbers as there are irrational ...

Math - What are irrational, rational, and natural numbers? A rational number is ...

please help with math - There exist irrational numbers a and b so that a^b is ...