Question

show that 3+2√7is irrational given that√7is irrationall​

Answer 1

Answer:

Now, lets prove that 3 + 2√7 is an irrational number.

Let us assume that 3 + 2√7 is a rational number. This implies that it can be expressed in the form p/q where q ≠ 0 and p & q are co-primes. Here, √7 is an irrational number, and (p - 3q)/2q is a rational number.