Question

Diego says that if you cube the number 4 and then take the cube root of the result, you end up with 8. Is diego correct?

Answer 1

Consider the cube of the number 4,

`4^3 = 4 * 4 * 4 = 64`

Now, we have to take the cube root of the result obtained which is 64.

So,
`(64)^(1)/(3) = (4 * 4 * 4)^(1)/(3)`

`(64)^(1)/(3) = (4^3)^(1)/(3)`

`(64)^(1)/(3) = (4)^{3 * (1)/(3)}`

`(64)^(1)/(3) = 4`

Therefore, the cube root of 64 is 4.

But Diego evaluated the result as 8, which is incorrect.

Therefore, Diego is incorrect.