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InterviewSolution
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What are surds ? |
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Answer» Irrational numbers of the type \(\sqrt{2},\) \(\sqrt{3},\) \(\sqrt{5},\) \(\sqrt{17},\) ...... which are square roots of positive rational ____ numbers that cannot be expressed as squares of any rational numbers are called surds. Similarly, \(\sqrt[3]{2}\), \(\sqrt[3]{4}\), \(\sqrt[3]{19}\) etc., are numbers which are the cube roots of positive rational numbers that cannot be expressed as the cubes of any rational numbers and so are surds. Definition : If x is a positive rational number and n is a positive integer such that x1/n , i.e., \(\sqrt[n]{x}\) is irrational, then \(\sqrt[n]{x}\) is called a surd or radical of order n. \(\sqrt[5]{25}\) is a surd of order 5. |
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