New News Algebra #5

Irrational Numbers

Idea: Irrational Number

a number that can’t be written as the ratio of a whole number

Examples of Irrational Numbers:

Pi (π)3.141592653589793…

Square Root of Two e.g. xˆ2=9 x=√9=3

Cube root (3√8) e.g. x^3=8 x=3√8=2

Conclusion: the nth root of a number is always a number one can multiply itself n times to get the original number.

Note: not all infinite decimals are irrational numbersFor example, 1/3 isn’t an irrational number, because it can be represented as the ratio of a whole number.