Question

find the cube root of the following perfect cubes using estimation. 438976​

Answer 1

By prime factorization method, the cube root of 438976 = 76

Explanation:

• Divide the number 438976​ by 2.
• Keep dividing until a number 6859 is obtained.
• 438976​ = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 19 x 19
• 438976​ = 2^3 x 2^3 x 19^3
• Now take cube root on both sides of the equation.
• 3√438976 = 3√ 2^3 x 2^3 x 19^3
• 3√438976 =  = 2 x 2 x 19
• 3√438976 =  76
• Thus, by prime factorization method, the cube root of 438976 = 76

Answer 2

Answer:

The cube root of 438976 is 76.