Final answer:
To solve the equation √(x+2) + 3 = 6, subtract 3 from both sides, square both sides, and solve for x. So, the value of x that satisfies the equation is 7 (option D).
Step-by-step explanation:
To solve the equation √(x+2) + 3 = 6,
Subtract 3 from both sides of the equation to isolate the square root term: √(x+2) = 3.
Then, square both sides of the equation to eliminate the square root: x + 2 = 9.
Finally, subtract 2 from both sides to solve for x: x = 7.
Therefore, the value of x that satisfies the equation is 7 (option D).