Quadratic Surds & Simplification
Laws of indices methods
There are several laws of indices (sometimes called indices rules), including multiplying, dividing, power of 0, brackets, negative and fractional powers.
a3 + b3 = (a + b) (a2 - ab + b2 ).
The surds which have the indices of root 2 are called as second order surds or quadratic surds. For example√2, √3, √5, √7, √x are the surds of order 2. Example: √2, √5, √10, √a, √m, √x, √(x + 1) are second order surd or quadratic surd (since the indices of roots are 2).
Quadratic Surds & Simplification
A fraction whose denominator is a surd can be simplified by making the denominator rational . This process is called rationalising the denominator. If the denominator has just one term that is a surd, the denominator can be rationalised by multiplying the numerator and denominator by that surd.
Simplify Surd Calculation with Steps
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Dated : 08-Jun-2022
Category : Education