Answer: To simplify the given expression, let's break it down step-by-step:
1. Evaluate the expression inside the absolute value: |-2 - 7(3)|
- Multiply 7 by 3: |-2 - 21|
- Simplify inside the absolute value: |-2 - 21| = |-23| = 23
2. Evaluate the numerator: 5 * 23 - 2 * 17
- Multiply 5 by 23: 5 * 23 = 115
- Multiply 2 by 17: 2 * 17 = 34
- Subtract the two results: 115 - 34 = 81
3. Evaluate the denominator: 22 + √(7 * 28)
- Multiply 7 by 28: 7 * 28 = 196
- Take the square root of 196: √196 = 14
- Add 22 to 14: 22 + 14 = 36
4. Divide the numerator by the denominator: 81 / 36
- Divide 81 by 36: 81 / 36 = 2.25
Therefore, the simplified value of the given expression is 2.25.
Step-by-step explanation: Hope that this helps and makes sense!