Final answer:
To solve the equation, isolate the square root term and then square both sides of the equation to eliminate the square root. The solution is x = 28.
Step-by-step explanation:
To solve the equation √(x-3)+1 = 6, we need to isolate the square root term and then square both sides of the equation to eliminate the square root. Here are the steps:
- Subtract 1 from both sides of the equation: √(x-3) = 5.
- Square both sides of the equation: (√(x-3))^2 = 5^2 = 25.
- Simplify the left side of the equation: x-3 = 25.
- Add 3 to both sides of the equation to isolate x: x = 25 + 3 = 28.
Therefore, the solution to the equation √(x-3)+1 = 6 is x = 28.
Learn more about Solving equations involving square roots