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

Answer:

$(\frac{24}{8})^{2}$ gives rational solution and $\sqrt{5}$ gives an irrational solution.

Step-by-step 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. $(\frac{24}{8})^{2}$ = $(\frac{12}{4})^{2}$ = $3^{2}$ = 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. $\sqrt{5}$ , which is an irrational number.

Hence, the problems $(\frac{24}{8})^{2}$ gives a rational solution and $\sqrt{5}$ gives an irrational solution.