Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number.
√(5+8*24)
In fact, it will be harder not to end up with an irrational if you use the √ and ∛ operators
whats the answer?
To create a problem where the solution will be an irrational number using the numbers 5, 8, and 24, we can try the following:
Problem: Take the cube root of the sum of 24 and the square root of 8, then multiply by 5.
Solution:
1. Start by finding the square root of 8:
√8 ≈ 2.828
2. Add 24 to the square root of 8:
2.828 + 24 ≈ 26.828
3. Take the cube root of the sum:
∛26.828 ≈ 3.073
4. Finally, multiply the result by 5:
3.073 * 5 ≈ 15.365
The solution to this problem, 15.365, is an irrational number because it cannot be expressed as a ratio of two integers.