What is Cube Root of 216

• Cube root of 216 is written as $\sqrt[3]{216}$ (Radical form).
• $\sqrt[3]{216}$ = $\sqrt[3]{6 \times 6 \times 6}$ = 6
• In the exponential form, the cube root of 216 is expressed as $(216)^\frac{1}{3}$.

Prime Factorization Method

• Step 1: Prime factors of 216: 2 x 2 x 2 x 3 x 3 x 3
• Step 2: Prime factors of 216 in triplets: (2 x 2 x 2) x (3 x 3 x 3)
• Step 3: Now cube root of 216:

$\sqrt[3]{216} = \sqrt[3]{(2 \times 2 \times 2) \times (3 \times 3 \times 3)}$

$\sqrt[3]{216} = \sqrt[3]{ 2^3 \times3^3}$

$\sqrt[3]{216} = \sqrt{(2\times3)^3}$

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

$\sqrt[3]{216} = 6$

Therefore, the cube root of 216 is 6