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If the simplified form of an expression contains an irrational number and a numerical evaluation is required then it is necessary to use a rational approximation.

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Q: When do you need to approximate an irrational number with a rational value?
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What is the sum of a rational number and irrational number?

The value of the sum depends on the values of the rational number and the irrational number.


When is it possible for the product of a rational and an irrational number to result in a rational value?

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Is a logarithm an irrational number?

Usually, but not necessarily. A logarithm that is not an integer-value is irrational. For example log10100 = 2 which is a rational number. log1012 = 1.0791812460476... which is an irrational number.


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Is six a rational or irrational number?

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