SOLUTION: Is 2-square root 5 rational or irrational number?

Question 739933: Is 2-square root 5 rational or irrational number?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is irrational because is irrational.
You know that the result from adding, or subtracting, or multiplying rational numbers is always rational.
If is rational, must be rational.
If was rational,
would be rational,
but it is not.

NOTE:
Watch out for trick questions.
Sometimes rational numbers are written in an unusual way to make them look irrational, just to trick you.
is a rational number, even when it is written as
Similarly, is rational, and so is

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