What is Cube Root of 8

• Cube root of 8 is written as $\sqrt[3]{8}$ (Radical form).
• $\sqrt[3]{8}$ = $\sqrt[3]{2 \times 2 \times 2}$ = 2
• In the exponential form, the cube root of 8 is expressed as $(8)^\frac{1}{3}$.

Prime Factorization Method

• Step 1: Prime factors of 8: 2 x 2 x 2
• Step 2: Prime factors of 8 in triplets: (2 x 2 x 2)
• Step 3: Now cube root of 8:

$\sqrt[3]{8} = \sqrt[3]{(2 \times 2 \times 2)}$

$\sqrt[3]{8} = \sqrt[3]{ 2^3}$

$\sqrt[3]{8} = 2$

Therefore, the cube root of 8 is 2