Question

prove that 6+2root 3 is irrational​

Answer 1

Answer:

Step-by-step explanation:

Assume that 6+2√3 is rational

6+2√3 = a/ b where a and b are co- prime integers

2√3= a-6b/b

√3= a - 6b / 2b

RHS is of the form p/ q LHS is also rational

but it Contradicts the fact that √3 is irrational due to our incorrect assumption that 6+2√3 is rational , Hence 6+2√3 is irrational.