Question

solve the equation. express your answer in exact simplest form.
\sqrt3{x - 8} - 2 = 4

the solution set is \square.

Explanation:

Step1: Isolate the cube root term

Add 2 to both sides.
$\sqrt[3]{x-8} = 4 + 2$
$\sqrt[3]{x-8} = 6$

Step2: Eliminate the cube root

Cube both sides of the equation.
$(\sqrt[3]{x-8})^3 = 6^3$
$x - 8 = 216$

Step3: Solve for x

Add 8 to both sides.
$x = 216 + 8$
$x = 224$

Answer:

$\{224\}$