Question

Solve the following equation for the value of $x$: $6\sqrt[3]{3x}-24=6$.

• A. $25$
• B. $5$
• C. $100$
• D. $125$

Answer 1

The correct option is D $125$

$6\sqrt[3]{3x}-24=6$

$\Rightarrow 6\sqrt[3]{3x}=6+24=30$

$\Rightarrow \sqrt[3]{3x}=\frac{30}{6}=5$

Taking cube on both sides, we get

$x=5^3=125$