Question

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.

Explain why the result of your operations is an irrational number.


somebody please help me :(

all i know is that this is the equation √(24x5-8)

I need help checking the answer to it.

I think it's 10.583005244

I'm not sure and i need all teh help i can get, thanks

Answer 1

Take the square root of a number that is not a perfect square. None of the numbers are perfect squares. After you do that you can do any closed operation you want with the resulting irrational and the two other rationals and you will end up with an irrational.

8*24*√5 is an example.

8+24+√5 is another

5*√8 + 24 is another.

If you take the cube root of any number that isn't a perfect cube you get an irrational, so you could take the cube root of 5 or 24 instead of the square root and do the same thing.