A solution to an equation Jada solved is −2+3⎯⎯√.
She is trying to determine whether that solution is rational or irrational. Jada knows that −2
is a rational number and 3⎯⎯√
is an irrational number. She also knows that the sum of any two rational numbers is always rational.



a. If we add 2
(a rational number) to −2+3⎯⎯√,
what is the sum? Is the sum rational or irrational?



b. Explain why −2+3⎯⎯√
cannot be rational.