Video: Finding the Cube Root of Integers

Find the value of ∛125.

00:47

Video Transcript

Find the value of the cube root of 125.

So we need to factorize 125 into its prime factors. When a number has three equal prime factors, the cube root is that prime factor. 125 is equal to 25 times five and 25 is equal to five times five. So technically, 125 is equal to five times five times five, which means five cubed is equal to 125.

So if five cubed is equal to 125, then the cube root of 125 would be equal to five. Therefore, our final answer will be five.

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