Question

solve.
\\(\sqrt3{3x + 3} + 1 = 5\\)
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\\(\bigcirc\\) a. \\(x = \square\\)
(type an integer or a simplified fraction. use a comma to separate answers as needed.)
\\(\bigcirc\\) b. there is no real solution.

Explanation:

Step1: Isolate the cube root

Subtract 1 from both sides.
$$\sqrt[3]{3x+3}=5-1$$
$$\sqrt[3]{3x+3}=4$$

Step2: Eliminate the cube root

Cube both sides of the equation.
$$(\sqrt[3]{3x+3})^3=4^3$$
$$3x+3=64$$

Step3: Isolate the variable term

Subtract 3 from both sides.
$$3x=64-3$$
$$3x=61$$

Step4: Solve for x

Divide both sides by 3.
$$x=\frac{61}{3}$$

Answer:

A. $x=\frac{61}{3}$