Question

solve.
\\(\sqrt3{9x - 8} - 4 = 0\\)

select the correct choice below and fill in any answer boxes present in your choice.

\\(\bigcirc\\) a. \\(x = \square\\) (simplify your answer. use a comma to separate answers as needed.)
\\(\bigcirc\\) b. there is no solution.

Explanation:

Step1: Isolate the cube root

$\sqrt[3]{9x - 8} = 4$

Step2: Cube both sides

$(\sqrt[3]{9x - 8})^3 = 4^3$
$9x - 8 = 64$

Step3: Solve for x

$9x = 64 + 8$
$9x = 72$
$x = \frac{72}{9}$

Answer:

A. $x=8$ (Simplify your answer. Use a comma to separate answers as needed.)