What is Cube Root of 64

• Cube root of 64 is written as $\sqrt[3]{64}$ (Radical form).
• $\sqrt[3]{64}$ = $\sqrt[3]{4 \times 4 \times 4}$ = 4
• In the exponential form, the cube root of 64 is expressed as $(64)^\frac{1}{3}$.

Prime Factorization Method

• Step 1: Prime factors of 64: 2 x 2 x 2 x 2 x 2 x 2
• Step 2: Prime factors of 64 in triplets: (2 x 2 x 2) x (2 x 2 x 2)
• Step 3: Now cube root of 64:

$\sqrt[3]{64} = \sqrt[3]{(2 \times 2 \times 2) \times (2 \times 2 \times 2)}$

$\sqrt[3]{64} = \sqrt[3]{ 2^3 \times2^3}$

$\sqrt[3]{64} = \sqrt{(2\times2)^3}$

$\sqrt[3]{64} = \sqrt{4^3}$

$\sqrt[3]{64} = 4$

Therefore, the cube root of 64 is 4