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

We have the value -0.000125

Since this is negative value the cube number cannot be positive since it will not give an negative answer

hence the answer should be a negative number

this already eliminates the option A, B and D

now we have

$\sqrt[3]{-0.000125}$

$\sqrt[3]{(-0.05).(-0.05).(-0.05)}$

=-0.05 (option C)