Question

which equation is equivalent to $12\sqrt{x + 15} = 36$? options: $\sqrt3{x + 15} = 3$, $x + 15 = -6$, $\sqrt{x + 15} = 24$, $x + 15 = 9$

Explanation:

Step1: Isolate the radical term

Divide both sides by 12 to isolate the cube root expression.
$\frac{12\sqrt[3]{x+15}}{12} = \frac{36}{12}$

Step2: Simplify both sides

Calculate the division on both sides.
$\sqrt[3]{x+15} = 3$

Answer:

$\boldsymbol{\sqrt[3]{x+15} = 3}$