Question Video: Finding the Cube Root of a Perfect Cube | Nagwa Question Video: Finding the Cube Root of a Perfect Cube | Nagwa

Question Video: Finding the Cube Root of a Perfect Cube Mathematics • Second Year of Preparatory School

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Find the value of ∛−1.

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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.

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