Surds

The numbers whose exact roots cannot be found are called surds. Surds are special types of irrational number under radical sign like √5, √21, √33 etc. The sing √ is called radical sign, in \(\sqrt{n}{a}\), n is the degree (or order) of the surd and a is called radicand.

This note gives the information about the rational numbers, irrational numbers, integers, and a real number.

When the product of two surds is a rational number, then each of the two surds is called rationalizing factor of the other. Similarly, the process of reducing a given surd to a rational form after multiplying it by a suitable surd is known as rationalization.