Learn what a surd is, study the laws of radicals, then practise orders, same-order conversion, ascending order and simplifying surds.
If the root of a number under a radical sign cannot be found as a whole number or a rational number, then such numbers are surds. Any surd na, where 'a' is a rational number and 'n' is a natural number, is called a surd of the nth order.
For example, the order of 35 is 3; it is also called a third-order root.
All surds are irrational numbers, but all irrational numbers may not be surds. For example, π, e, etc. Here, e is the Euler's number, where e = 2.71828...
For solving problems related to surds, some necessary laws are presented below: