Question

20 multiple choice 1 point
what is the solution of $\frac{1}{3}sqrt{n + 2}=2$
$\bigcirc$ 36
$\bigcirc$ 16
$\bigcirc$ 6
$\bigcirc$ 34
clear my selection
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Explanation:

Step1: Isolate the square root term

Multiply both sides by 3:
$$3 \times \frac{1}{3}\sqrt{n+2} = 2 \times 3$$
$$\sqrt{n+2} = 6$$

Step2: Eliminate the square root

Square both sides:
$$(\sqrt{n+2})^2 = 6^2$$
$$n+2 = 36$$

Step3: Solve for n

Subtract 2 from both sides:
$$n = 36 - 2$$
$$n = 34$$

Answer:

34 (Option D: 34)