What is the cube root of 24 plus the fith root of 192

24^(1/3) + 192^(1/5)

= 8^(1/3)*3^(1/3) + 32^(1/5)*6^(1/5)
= 2*3^(1/3) + 2*6^(1/5)

if you need an approximation, use your calculator.

(24)1/3

=81/3*31/3
=2*31/3
You can do the same for 1921/5 and find common factors, if any.

If you need a numerical answer, your calculator is your best tool. (ans.≅5.7464...)

To find the cube root of 24 plus the fifth root of 192, you can use a scientific calculator or a math software program. The cube root of a number can be found by raising the number to the exponent of 1/3, and the fifth root can be found by raising the number to the exponent of 1/5.

Here's how you can calculate it step by step:

1. Calculate the cube root of 24:
- Raise 24 to the exponent of 1/3.
- On a scientific calculator, you can use the "^" or "y^x" key. Enter 24, then press the exponent key (usually "^" or "y^x"), and then enter 1/3. Press the equals button to get the result.
- Alternatively, you can use a math software program and enter the expression "24^(1/3)" to get the result.

2. Calculate the fifth root of 192:
- Raise 192 to the exponent of 1/5.
- Use the same process as above, either with a scientific calculator or a math software program. Enter 192, then the exponent key, and then 1/5. Press equals or submit to get the result.

3. Add the two results together to get the final answer.

Please note that the result may not be an exact integer, and you might get a decimal or an irrational number.