Let x = a and x = b be distinct solutions to the equation shown below. what is the exact value of a ⋅ b? 2(x + 4)^2 = 6

We have the following expression:
 2 (x + 4) ^ 2 = 6
 Let's clear the value of x:
 x + 4 = +/- root (6/2)
 x + 4 = +/- root (3)
 x = +/- root (3) - 4
 The solutions are:
 a = root (3) - 4
 b = -raiz (3) - 4
 Multiplying both solutions we have:
 a.b = (root (3) - 4) * (- root (3) - 4)
 a.b = -9 -4raiz (3) + 4raiz (3) + 16
 a.b = -9 + 16
 a.b = 7
 
 the exact value of a ⋅ b is 7