Question

3 fill in the blank 1 point
what is the solution of $\frac{1}{3}sqrt{x-2}=2$
$x =$ type your answer...
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Explanation:

Step1: Isolate the square root term

Multiply both sides by 3.
$$\frac{1}{3}\sqrt{x-2} \times 3 = 2 \times 3$$
$$\sqrt{x-2} = 6$$

Step2: Eliminate the square root

Square both sides of the equation.
$$(\sqrt{x-2})^2 = 6^2$$
$$x-2 = 36$$

Step3: Solve for x

Add 2 to both sides.
$$x - 2 + 2 = 36 + 2$$
$$x = 38$$

Answer:

38