Explain why any of the four operations (+-x/)placed between the two terms 5 and-3/(radical sign) 8 will result in an irrational number. ! it’s due today

Step-by-step explanation:

The governing rule on this situation is that if you add a rational number and an irrational number, you get an irrational number. So for example

pi + 3 is going to give you an irrational number.  There is no operation that you can perform that will change that result.

How about pi - 3? The rule stands. You get approximately 0.141592 ... but the result is still irrational. You cannot find the 100th digit of this decimal given the 99th one. You cannot express pi - 3 as a fraction. You don't have enough information.

We could try 3*pi. That does not help. The result is still irrational. Given the 99th number, you can only guess the hundredth number and you will be right just 10% of the time. There is no fraction that can produce 3*pi.

Finally pi/3 gives exactly the same results. You cannot guess the 99th digit given the 98th digit and your guess will be right 10% of the time. No fraction will reduce or expand to pi/3.

50.6

step-by-step explanation: