Real Number System

• If is an irrational number such that *x* is a positive rational number and *a* (*a* ≠ 1) is a natural number, then is known as a **surd**. Here, is **radical** sign, *a* is **order** of the surd and *x* is **radicand**.

For example, is a surd of order 3.

• A surd whose order is 2 is called **quadratic surd**.

• **Rules for surds:**

If *x*, *y *∈ Q, *x*, *y* > 0 and *a*, *b*, *c* ∈ N,…

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