Question 146
Let $\alpha = \sqrt{60} + \sqrt{61}$.
(1) Prove that $\alpha$ is irrational.
(2) Find an example of polynomial with integer coefficients for which $\alpha$ is a root.
(Batbayasgalan Balkhuu)
(1) Prove that $\alpha$ is irrational.
(2) Find an example of polynomial with integer coefficients for which $\alpha$ is a root.
(Batbayasgalan Balkhuu)