What is Cube Root of 343

• Cube root of 343 is written as $\sqrt[3]{343}$ (Radical form).
• $\sqrt[3]{343}$ = $\sqrt[3]{7 \times 7 \times 7}$ = 7
• In the exponential form, the cube root of 343 is expressed as $(343)^\frac{1}{3}$.

Prime Factorization Method

• Step 1: Prime factors of 343: 7 x 7 x 7
• Step 2: Prime factors of 343 in triplets: (7 x 7 x 7)
• Step 3: Now cube root of 343:

$\sqrt[3]{343} = \sqrt[3]{(7 \times 7 \times 7)}$

$\sqrt[3]{343} = \sqrt[3]{ 7^3}$

$\sqrt[3]{343} = 7$

Therefore, the cube root of 343 is 7