SURDS AND RADICALS math capsule
Today we are going to learn about surds and radicals in this blog post . Before beginning with 'surds and radicals' you should visit and revise the concepts of number system , NUMBER SYSTEM So, lets begin with surds and radicals Let x be a rational number and n be a positive number such that ⁿ√x is irrational , then ⁿ√x is called a radical of order n or surd and here x is called the radicand. * A surd of order 2 is called quadratic surd, i.e. √2 * A surd of order 3 is called a cubic surd i.e. ³√5 * A surd of order 4 is called a biquadratic surd * A surd has no fraction under the radical sign . * The radicand has no factor with exponent n. * A surd is not equal to any surd of order lower than n. * ⁿ√x is a surd only if x is a rational and ⁿ√x is irrational. * When x is irrational or ⁿ√x is rational then ⁿ√x is not a surd.