Question

find the real solution(s) of the following equation.
$r^3 = 216$
choose all answers that apply:
a $r = \sqrt3{6}$
b $r = -\sqrt3{6}$
c $r = 7$
d $r = -7$
e none of the above

Explanation:

Step1: Take cube root of both sides

$r = \sqrt[3]{216}$

Step2: Simplify the cube root

$\sqrt[3]{216} = 6$, since $6^3 = 6 \times 6 \times 6 = 216$

Step3: Match with options

6 is not listed in options A-D.

Answer:

E. None of the above