Video Transcript
Find the value of the cube root of
negative one.
We begin by recalling that the cube
root of a negative number is negative. We also recall that the cube root
of a number 𝑛 is the number 𝑎 such that 𝑎 cubed is equal to 𝑛. This means that in this question,
we need to find a negative number that when cubed gives negative one. The only solution here is negative
one, since negative one cubed is equal to negative one multiplied by negative one
multiplied by negative one, which in turn is equal to negative one. We can therefore conclude that the
cube root of negative one is negative one.
