Rational zero test cannot be used to find irrational roots as well as rational roots.
The square roots are irrational.
No.
Yes
Not always. For example: sqrt(2)+(-sqrt(2))=0 which is not irrational.
The square roots of 50 are irrational.
The square roots of 163 are irrational.
The square roots of 84 are irrational.
There is no special symbol for an irrational number. However, it is known that many square roots, cubic roots, etc., as well as some special numbers such as pi and e, are irrational.
Irrational numbers can be roots because they are solutions to certain mathematical equations. For example, the square root of 2 is an irrational number that is a solution to the equation x^2 = 2. Similarly, other irrational numbers can be roots of different equations depending on their mathematical properties.
The square roots are irrational.
Most of them are.