At this time, no one defines appropriate meaning of a surd theoretically. However, Mathslogic gives a right definition of a surd theoretically and mathematically to understand concept of surd perfectly.
Definition of Surd
The positive integer root of a positive rational number defined a surd
Mathematically, we can represent a surd +I√(+RN) or (+RN)1/+I in this form.
In this representation, +I and +RN represent positive Integer and Positive rational number. If the rational number is negative it becomes complex number. So, the rational number should always be postive to call it as a surd.
Surds is a part of algebraic mathematics. Surds often come in mathematics, mathematical applications and play important role in competitive exams. So, it is better to learn surd’s concept separately in order to know the different types of surds and properties of surds. This concept helps us to simplify complicated functions and math problems easily.
Classification of Surds
According to the Surd properties, Surds can be classified into eight categories. These are the list of eight different types of surds with examples for better understanding purpose.
- Simple Surd
- Entire or Pure Surd
- Mixed Surd
- Compound Surd
- Binomial Surd
- Trinomial Surd
- Like Surd
- Unlike Surd
Learning properties of above stated surds help us to determine conjugate surds and rationalizing factors.
Mostly, we find Quadric and Cube root of a surd. Sometimes, we can also deal higher order surds by using fundamentals of surds.