Friends kindly enlighten me on the following aspects:
Is 3 + Sq. root of 2 - irrational?
Whether irrational roots occur in pair?
As an example (3+ Sq. root of 2) and (3 - Sq. root of 2)
Hope I have made myself clear.
If all coefficents of a quadratic equation are rational, then the all irrational roots appear in "conjugate pairs". Your statement, "So the coefficients of a quadratic should be rational for the roots to be (irrational) pair", however, is not necessarily true. An obvious example is which has irrational coefficients but "irrational pair" roots, .