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No. It must be infinite AND non-recurring.

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11y ago

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What is the decimal expansion of an irrational number?

A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.


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What is the difference between the decimal expansion in irrational and rational numbers?

Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.


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Yes, 5.56776436283 is an irrational number. An irrational number cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion. Since the decimal representation provided appears to be a non-repeating decimal, it indicates that the number is irrational.


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