SOLUTION: Determine whether SQRT (77) is rational or irrational.

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Question 101305: Determine whether SQRT (77) is rational or irrational.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Is sqrt%2877%29 rational or irrational?
Well, a rational number is a number that can be represented by the quotient of two integers. Examples are: integers, repeating decimals, terminating decimals.
When you take the square root of a number that is not a perfect square, such as sqrt%2877%29, the result is a non-terminating, non-repeating decimal. Such a decimal can not be represented by the quotient of two integers!
sqrt%2877%29+=+8.77496438739...ad infinitum. This is irrational!