Question

Given that √6 is irrational and then prove that 5 + 2√6 is also irrational.​

Answer 1

Answer:

Step-by-step explanation:

Let us assume to the contrary that 5 +root6 is rational So, 5+root6=a/b where b is not equal to 0 Root 6 = a/b-5 Root 6 = a-5b/b Here, a-5b/b is rational. But this contradicts with the fact that root 6 is irrational.