Answer:
Yes.
Here’s an easy (and cheap) one: [tex]\\\\\sqrt 2\\-\sqrt 2[/tex]
In fact, I can find a formula for them.
The two numbers will always be of the form:
[tex]x_1 =a+b\sqrt c \\x_2 =a-b\sqrt c \\[/tex]
A and B are rational
C is rational and not a perfect square of a rational number
These are irrational because the square root will not resolve to a rational number.
12=(+√)(−√)=2−(√)2=2−2 . Looks rational to me.
1+2=+√+−√=2 , which also is rational.
Hope this helped!
