Question

Find all the real cube roots of -0.000125

Answer 1

Answer : The real cube roots of -0.000125 is, -0.05

Step-by-step explanation :

Cube root : It is defined as the number which produces a given number when cubed.

For example :

3 cubed is 27, so the cube root of 27 is 3

We Can also cube negative numbers.

For example :

When we cube +5 we get, +125 : (+5) × (+5) × (+5) = +125

When we cube -5 we get, -125 : (-5) × (-5) × (-5) = -125

So, the cube root of -125 is, -5

As we are given the number -0.000125. Now we have to determine the real cube roots of this number.

`-0.000125=-(125)/(1000000)=-(125)/(10^6)`

Now taking cube root of this number, we get:

`-\sqrt[3]{(125)/(10^6)}=-\sqrt[3]{((5)^3)/(10^6)}=-(5)/(10^2)=-0.05`

Thus, the real cube roots of -0.000125 is, -0.05

Answer 2

We calculate the cube root,

we know that

-0.000125-------------> is equal to -125/1000000-------->(-5³/10^6)
∛(-5³/10^6) = -5/10^2-------> -5/100--------> -0.05

The answer is -0.05