Cube root of 0.125 is:

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0.5

0.05

2.5

answer is A.

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Detailed Solution

Concept- In this case, we must find the cube root of a given integer. Cube root is the component that must be multiplied three times to obtain the needed number. We can discover the cube root of any decimal number by converting it to a fraction and then using the prime factorization method to find all the factors.
We need to determine the cube root of 0.125.
We now know that the number 0.125 has a whole number portion, i.e. the digits on the left side of the decimal point.
In the following question, the entire number portion is 0.
Furthermore, the supplied number has a fractional portion, which are the digits on the right hand side of the decimal part.
In the above question, the fractional component is 125.
We now know that we can transform any decimal number into a fraction with a numerator and denominator.
As a result, the provided number may be written as follows:

Because there were three numbers following the decimal point in this case, we used three zeros in the denominator.
We will now use prime factorization to get the cube root of the numerator and denominator.
Question Image

So,

and

The number may now be written as follows:

We must now find the cube root.
Taking the cube root on both sides, we obtain

can be written as 0.1 decimal.
As a result, we may rewrite the following equation as:

Hence, the correct answer is option 1.

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