Question

Find all the cube roots of 125, also show that their sum is
and their product is 125?
​

Answer 1

Answer:

The value of the cube root of 125 is 5. It is the real solution of the equation x3 = 125. The cube root of 125 is expressed as ∛125 in radical form and as (125)⅓ or (125)0.33 in the exponent form. As the cube root of 125 is a whole number, 125 is a perfect cube.

Cube root of 125: 5

Cube root of 125 in exponential form: (125)⅓

Cube root of 125 in radical form: ∛125

Step-by-step explanation:

Prime factorization of 125 is 5 × 5 × 5

Simplifying the above expression: 53

Therefore, the cube root of 125 by prime factorization is (5 × 5 × 5)1/3 = 5.

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