By Team Aakash Byju's

What Is a Surd in Maths? Explained With Example

Surds are irrational numbers that cannot be expressed as fractions or repeating decimal numbers.

These numbers can only be represented as square roots and cannot be expressed as repeating decimals or fractions.

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Example:

Surds are square root representations of irrational integers that cannot be stated in fractional or repeating decimals.

Types of Surds: There are six different types of surds, namely

- Simple Surd - Pure Surd - Similar surds - Mixed surds - compound surds - Binomial surd

Simple Surd:

A simple surd is one in which the root symbol contains only a number.

Example:

Pure Surd:

Irrational surds are referred to as pure surds.

Example:

Similar Surd:

Surds that have the same common factors are referred to as similar surds.

Example:

Mixed Surds:

A mixed surd is a number that can be written as a product of rational and irrational numbers.

Example:

Compound Surds:

A Compound surd is one that involves the addition or subtraction of two or more surds.

Example:

Binomial Surd:

Binomial surds are formed when two surds are combined to form one single surd.

Example:

Example:

Solution: