What is Cube Root of 125

• Cube root of 125 is written as $\sqrt[3]{125}$ (Radical form).
• $\sqrt[3]{125}$ = $\sqrt[3]{5 \times 5 \times 5}$ = 5
• In the exponential form, the cube root of 125 is expressed as $(125)^\frac{1}{3}$.

Prime Factorization Method

• Step 1: Prime factors of 125: 5 x 5 x 5
• Step 2: Prime factors of 125 in triplets: (5 x 5 x 5)
• Step 3: Now cube root of 125:

$\sqrt[3]{125} = \sqrt[3]{(5 \times 5 \times 5)}$

$\sqrt[3]{125} = \sqrt[3]{ 5^3}$

$\sqrt[3]{125} = 5$

Therefore, the cube root of 125 is 5