Find the cubic root of 96. (1 point)
4√6
2√12
2³√12
2³√7
The cubic root of 96 is 4√6.
To find the cubic root of 96, we need to find an integer that, when multiplied by itself three times, equals 96.
Let's check the options:
1. 4√6: This is not correct because it gives the square root of 6 instead of the cubic root.
2. 2√12: This is also incorrect because it gives the square root of 12 instead of the cubic root.
3. 2³√12: This is the correct option. The cubic root of 12 is approximately 2.289 (rounded to three decimal places).
4. 2³√7: This is not correct as it gives the cubic root of 7, not 96.
Therefore, the correct answer is 2³√12.
To find the cubic root of 96, you need to find a number that, when multiplied by itself twice (cubed), equals 96.
Let's consider the options given:
1. 4√6: This is not the correct option because it is the fourth root (√) of 6, not the cubic root.
2. 2√12: This is also not the correct option as it represents the square root (√) of 12, not the cubic root.
3. 2³√12: This is the correct option. The notation 2³√12 means the cubic root of 12. Raised to the power of 3, this means you should find a number such that when cubed, it equals 12. However, this is not the correct answer in this case since we are looking for the cubic root of 96.
4. 2³√7: This is also not the correct option as it represents the cubic root of 7, which is different from the cubic root of 96.
Therefore, the correct answer for the cubic root of 96 would be none of the options given.