Question

find the value of cube root 0.008

Answer 1

Hi Mate !!

Here's ur ans :-


$\sqrt[3]{0.008}$

$\sqrt[3]{ \frac{8}{1000} }$

$\sqrt[3]{ \frac{2 \times 2 \times 2}{10 \times 10 \times 10} }$


$= \frac{2}{10} \\ = 0.2$

Answer 2

Answer:

The cube root is 0.2

Step-by-step explanation:

we have to find the cube root of 0.008

To find the cube root by prime factorization:

Step 1: Obtain the given number.

Step 2: Resolve it into prime factors.

Step 3: Group the factors in three in such a way that each number of the group is same.

Step 4: Take one factor from each of the group obtain in step 3.

Step 5: Find the product of the factors.

This product is the required cube root.

Number: 0.008

After resolving the prime factors, we get

$0.008=0.2\times 0.2\times 0.2$

Taking one factor from each group

$\sqrt[3]{0.008}=0.2$

Hence, the cube root is 0.2