Answer and Step-by-step explanation:
Diego is incorrect. Let's break down the steps to understand why.
1. Cube the number 4: 4^3 = 4 * 4 * 4 = 64.
2. Take the cube root of the result: ∛64.
The cube root (∛) of a number is the value that, when multiplied by itself three times, gives the original number.
To find the cube root of 64, we need to determine a number that, when multiplied by itself three times, equals 64.
Let's test whether 8 is the cube root of 64 by multiplying it by itself three times: 8 * 8 * 8 = 512.
As we can see, multiplying 8 by itself three times results in 512, not 64.
Therefore, Diego is incorrect in stating that the cube root of 64 is 8. The correct cube root of 64 is actually 4.