what is the solution of $sqrt3{x + 8}=-4$?\n$x=-72$\n$x=-66$\n$x = 58$\nno solution

Explanation:

Step1: Cube both sides of the equation

Given $\sqrt[3]{x + 8}=-4$. Cubing both sides gives $(\sqrt[3]{x + 8})^3=(-4)^3$.

Step2: Simplify both sides

On the left - hand side, $(\sqrt[3]{x + 8})^3=x + 8$. On the right - hand side, $(-4)^3=-64$. So the equation becomes $x+8=-64$.

Step3: Solve for x

Subtract 8 from both sides: $x=-64 - 8=-72$.

Answer:

$x=-72$