Given a polynomial equation p(x)=0, which expressions could be a pair of irrational roots of the equation?

Question

please help I don't know how to solve this

Answer 1

I just did one for you
https://www.jiskha.com/display.cgi?id=1516928756#1516928756.1516930161

now if you want irrational roots
of a quadratic, what is b^2-4ac = 5
the sqrt 5 is irrational
so both roots will be irrational
now you could also use the rational roots theorem.

Answer 2

http://www.purplemath.com/modules/rtnlroot.htm

Answer 3

Thank you for doing the other one I'm just really struggling with this. sorry to waste your time