Answer: To solve for x in the equation (x+3)^2=12, we can use the following steps:
Take the square root of both sides of the equation to eliminate the square on the left-hand side:
√((x+3)^2) = √12
Simplify the left-hand side using the property that the square root of a square is equal to the absolute value of the number inside the square root:
|x+3| = √12
Solve for x by isolating the absolute value expression and finding the two possible values:
x+3 = ±√12
x = -3 ± √12
Therefore, the solutions to the equation are x = -3 + √12 and x = -3 - √12.
Explanation: