Question

The decimal expansion of an irrational number may be :

Answer 1

Answer:

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Step-by-step explanation:

non terminating and non recurring decimal expansion...

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Answer 2

The required decimal expansion of an irrational number is always non-terminating and non-recurring.

• We can express any rational number in the ratios of two integers.
• We cannot express any irrational numbers in the form of ratios of two integers.
• When we express rational numbers in the decimal form, the resultant decimal portion either terminates or appears in a repeating sequence (in the case of non-terminating.)
• Thus we find that the decimal form of rational numbers is either terminating or recurring.
• When we express irrational numbers in the decimal form, the resultant decimal portion neither terminates nor appears in a repeating sequence (in the case of non-terminating.)
• Therefore, irrational numbers in their decimal form are always non-terminating and non-recurring.

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