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Decimal Representation of Irrational Number
When an irrational number is changed into a decimal, the resulting number is a nonterminating, nonrecurring decimal.
For example, consider the decimal representation of √2:
Therefore, √2 = 1.4142.... It is nonterminating. It is also nonrecurring asat every stage the remainder is different.
Thus, the irrational number √2 is represented as a nonterminating, nonrecurring decimal.
Note: The approximate value of π = 22/7 (or 3.14). Actually, π is a non-terminating, nonrecurring decimal number and so π is also an irrational number.
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