Question

What are surds in math

Answer 1

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If 'a' is a positive rational number which cannot be expressed as nth power of same rational number then the irrational number $\sqrt[n]{a}$or a¹/n ( the positive nth root of a ) is called a surd (or) radical. The symbol $\sqrt[n]{a}$ is called radical sign, n is the called the order of the surd (or radical) and 'a' is called radicand.

∛2 , ∛3,......... are the surds of the third order called cubic surds.$\sqrt[4]{5}$ $\sqrt[4]{7}$  are the surds of 4th order or bi-quadratic surds.
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