Question

What is the solution to the equation sqrt(x) + 3 = 12?

A. x = 81
B. x = 9
C. x = 144
D. x = 25

Answer 1

The solution to the equation is found by isolating the square root term and squaring both sides, which gives the answer A. x = 81.

Step-by-step explanation:

The solution to the equation sqrt(x) + 3 = 12 is found by isolating the square root term and squaring both sides of the equation to eliminate the square root:

1. Subtract 3 from both sides of the equation: sqrt(x) = 12 - 3
2. Simplify the right side: sqrt(x) = 9
3. Square both sides of the equation: (sqrt(x))^2 = 9^2
4. Simplify both sides: x = 81

Therefore, the correct answer is A. x = 81.