Question

Find all the real cube roots of -0.000125

a. 0.0025 and -0.0025
b. -0.05 and 0.05
c. -0.05
d. 0.0025

Answer 1

`\sqrt[3]{-0.000125}=-0.05`

Explanation:

We are given

`\sqrt[3]{-0.000125}`

Firstly, we will find factors of -0.000125

we can write as

`-0.000125=(-0.05)* (-0.05)* (-0.05)`

`-0.000125=(-0.05)^3`

now, we can replace it

`\sqrt[3]{-0.000125}=\sqrt[3]{(-0.05)^3}`

now, we can simplify it

and we get

`\sqrt[3]{-0.000125}=-0.05`

So,

answer is

c. -0.05

Answer 2

The correct option is c.

Explanation:

We have to find the cube roots of -0.000125.

It can be written as

`\sqrt[3]{-0.000125}`

`\sqrt[3]{-0.000125}=-\sqrt[3]{0.000125}`

`\sqrt[3]{-0.000125}=-\sqrt[3]{0.05* 0.05* 0.05}`

`\sqrt[3]{-0.000125}=-\sqrt[3]{(0.05)^3}`

`\sqrt[3]{-0.000125}=-0.05`

Therefore option c is correct.