Question

select the correct answer.
what is the solution to the equation?
$sqrt{x} + 3 = 12$
a. 225
b. 81
c. 3
d. no solution

Explanation:

Step1: Isolate the square root term

Subtract 3 from both sides:
$\sqrt{x} = 12 - 3$
$\sqrt{x} = 9$

Step2: Eliminate the square root

Square both sides:
$(\sqrt{x})^2 = 9^2$
$x = 81$

Step3: Verify the solution

Substitute $x=81$ into original equation:
$\sqrt{81} + 3 = 9 + 3 = 12$, which matches the right-hand side.

Answer:

B. 81