02 rational & irrational

02 rational & irrational - divisible is 2 by divisible...

This preview shows pages 1–2. Sign up to view the full content.

Rational Numbers Rational numbers can be expressed in the form where a and b are integers. b a Irrational Numbers Irrational numbers are numbers which are not rational. All irrational numbers can be expressed as a unique infinite decimal.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
irrational is 2 Prove . . g e “Proof by contradiction” rational is 2 Assume b a = 2 where a and b are integers with no common factors a b = 2 2 2 2 a b = 2 by divisible be must Thus 2 a 4 by
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: divisible is 2 by divisible is that square Any 4 by divisible be must Thus 2 a 4 by divisible be must 2 2 b ∴ 2 by divisible be must means which 2 b factor common a have must and 2 by divisible both are and So 2 2 b a However, a and b have no common factors rational not is 2 so irrational is 2 ∴ Exercise 2B; 2a, 3, 4 (root 3), 8, 14*...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

02 rational & irrational - divisible is 2 by divisible...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online