Irrational Numbers Worksheets

On this page you will find: a complete list of all of our math worksheets relating to irrational numbers. Choose a specific addition topic below to view all of our worksheets in that content area. You will find addition lessons, worksheets, homework, and quizzes in each section.

Irrational Numbers Worksheets Listed Alphabetically:

  1. Absolute Value Inequalities
  2. Algebraic Translations
  3. Approximations of Irrational Numbers
  4. Cyclic Nature of the Powers of i
  5. Direct Variation
  6. Graphically Represent the Inverse of a Function
  7. Operations with Radicals
  8. Power Word Problems
  9. Powers
  10. Radical Equations
  11. Rational and Irrational Numbers
  12. Simplify Complex Fractions
  13. Simplifying Radicals
  14. Undefined Algebraic Fractions
  15. Undefined Algebraic Fractions (Advanced)


Irrational Numbers Worksheets Listed By Skill Development:

  1. Approximations of Irrational Numbers
  2. Undefined Algebraic Fractions
  3. Undefined Algebraic Fractions (Advanced)
  4. Direct Variation
  5. Graphically Represent the Inverse of a Function
  6. Operations with Radicals
  7. Power Word Problems
  8. Powers
  9. Absolute Value Inequalities
  10. Radical Equations
  11. Rational and Irrational Numbers
  12. Simplify Complex Fractions
  13. Simplifying Radicals
  14. Algebraic Translations
  15. Cyclic Nature of the Powers of i


What Are Irrational Numbers?

Irrational numbers are the type of real numbers that cannot be represented in the fraction form. Or, these numbers are also defined as the type of the real numbers that cannot be written as the ratio of integers. For example, √4 is an irrational number. Irrational numbers include all the real numbers that cannot be represented in the form of p/q, where q and p are the integers and q ≠ 0. For instance, √4 and √3 are irrational numbers. However, any number that is represented in the form of p/q such that q ≠ 0 while p and q are the integers; then, that number is known as the rational number. We use the symbol P to represent the irrational numbers. The properties of the irrational numbers are as follows: When we add the rational number with the irrational number, we get the irrational number. Multiplication of the two irrational numbers and the irrational number gives us an irrational number as the product. Any two irrational numbers may or may not have their least common multiple. The sum or the product of the two irrational numbers may be rational. For example, the product of √4. √4= 4 has a rational number as the product. Unlike the set of rational numbers, the irrational numbers are not closed under the multiplication process.