Question

The set of rational numbers and the set of irrational numbers together form the set of real numbers are there any numbers that are both irrational ? Use a venn diagram to illustrate your explanation

Answer 1

Understanding rational and irrational numbers

An irrational number is a number that cannot be written as a ratio (or fraction). In decimal form, it never ends or repeats. The ancient Greeks discovered that not all numbers are rational; there are equations that cannot be solved using ratios of integers. The first such equation to be studied was 2=x2.

Explanation:

Example: The rational and irrational numbers are disjoint. ... All other types of numbers (integers, rational numbers, irrational numbers ) are subsets of the universal set of real numbers.