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Irrational Numbers are precisely those real numbers that cannot be represented as terminating or repeating decimals.
Log 216 = 2.334453751
terminates and is therefore not irrational.
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Can you multiply two irrational logarithms to get a rational answer?
Yes. Take any rational number p. Let a = any number that is not a power of 10, so that log(a) is irrational. and let b = p/log(a). log(a) is irrational so 1/log(a) must be irrational. That is, both log(a) and log(b) are irrational. But log(a)*log(b) = log(a)*[p/log(a)] = p which is rational. In the above case all logs are to base 10, but any other base can be used.
Is the number log 36 irrational?
It depends on the base, but for either e or 10, it is irrational.
What is the square root of 216 as an irrational number?
6 times the square root of 6
What is an irrational number and examples?
An irrational number is a number that cannot be written as a ratio of two whole numbers. That is, there are no two integers, X and Y (with Y>0) such that the number can be written as X/Y. Sqrt(2), pi, log(3) are examples of irrational numbers.
What is the sum of an rational number and irrational number?
An irrational number.
