Question

Find all the real cube roots of -0.000125

Answer 1

Answer:

The correct option is c.

Step-by-step explanation:

We have to find the cube roots of -0.000125.

It can be written as

$\sqrt[3]{-0.000125}$

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

$\sqrt[3]{-0.000125}=-\sqrt[3]{0.05\times 0.05\times 0.05}$

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

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

Therefore option c is correct.

Answer 2

Answer:

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

Step-by-step explanation:

We are given

$\sqrt[3]{-0.000125}$

Firstly, we will find factors of -0.000125

we can write as

$-0.000125=(-0.05)\times (-0.05)\times (-0.05)$

$-0.000125=(-0.05)^3$

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