Which of the following are irrational numbers?(8−2)(18+2)( 8​ − 2​ )( 18​ + 2​ )6+36−36​ − 3​ 6​ + 3​ ​ 8+28−28​ − 2​ 8​ + 2​ ​ 688​ 6​ ​

To determine which of the given expressions are irrational numbers, we first need to evaluate the expressions and check if they can be expressed as a fraction of two integers (i.e., rational) or not (i.e., irrational). The expressions listed appear to be somewhat confusingly formatted, but I will evaluate each one:

1. Evaluate the first expression: $(8−2)(18+2)$ $= 6 \cdot 20 = 120 \quad (\text{This is a rational number})$

2. Evaluate the second expression: $(6+36−36−3)$ $= 6 + 36 - 36 - 3 = 3 \quad (\text{This is a rational number})$

3. Evaluate the third expression: $(6 + 3)$ $= 6 + 3 = 9 \quad (\text{This is a rational number})$

4. Evaluate the fourth expression: $(8 + 28 - 28 - 2)$ $= 8 + 28 - 28 - 2 = 6 \quad (\text{This is a rational number})$

5. Evaluate the fifth expression: $688$

   • This is simply the integer 688, which is a rational number.

Final Answer

None of the mentioned expressions are irrational numbers; all evaluated results are rational.