Question

Explain all surds are irrational number but all irrational number are not surds

Answer 1

A number that can not be expressed in the form of ratio is called an irrational number.. A surd has an infinite numberof non-recurring decimals. so,surds are irrational number. But irrational number are not surds. most ofirrational number are not surds
i hope this will help you

Answer 2

By definition , a surd is an irrational root of a rational number.So now we know that surds are always irrational and they are always roots.

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