Question

Find all the real fourth roots of 0.0001.

0.01


-0.1 and 0.1


0.1


-0.01 and 0.01

Answer 1

-0.1 and 0.1

Explanation:

A fourth root is a number which multiplied by itself 4 times gives 0.0001.

Since it is an even root and the result is positive, the answer must include both negative and positive values. This is true since a negative times a negative is a positive.

0.1*0.1*0.1*0.1 = 0.0001

So the real fourth roots are -0.1 and 0.1.