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 is the solution when a solution will be in a rational number explain the wagon result of your operation is the number irrational number

Answer 1

`((24)/(8))^(2)` gives rational solution and
`√(5)` gives an irrational solution.

Explanation:

We are given the numbers 5 , 8 , 24.

Using these numbers and maximum four operations given, we need to find the problem having a rational and irrational solution.

Now, applying two operations namely division and squaring, we define the following problem having a rational solution.

i.e.
`((24)/(8))^(2)` =
`((12)/(4))^(2)` =
`3^(2)` = 9, being an integer, it is a rational number.

Further, applying only one operation namely square root, we define the problem having an irrational solution.

i.e.
`√(5)` , which is an irrational number.

Hence, the problems
`((24)/(8))^(2)` gives a rational solution and
`√(5)` gives an irrational solution.