Question

Solve by taking the square root of both sides. 3(x+4)^2-24=0

Answer 1

3(x+4)^2-24=0

3(x+4)^2 = 24

(x+4)^2 =  24/3

(x+4)^2 = 8

(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4

Answer 2

$3(x+4)^2-24=0 \\ 3(x+4)^2=24\\ (x+4)^2=8\\ x+4=\sqrt8 \vee x+4=-\sqrt8\\ x=-4+\sqrt8 \vee x=-4-\sqrt8\\ x=-4+2\sqrt2 \vee x=-4-2\sqrt2$