Final answer:
To solve for the unknown value * in the equation * + √(12) = 22, subtract √(12) from 22, which leaves the star (*) by itself on one side. The solution is * = 22 - √(12), leaving the answer in the exact algebraic form.
Step-by-step explanation:
To solve for the unknown value star (*) in the equation star (*) + √(12) = 22, you need to perform algebraic operations. First, recognize that √(12) is an irrational number. You can approximate √(12) to about 3.464 (since √(12) is the square root of 12), but in an algebraic context, it's usually best to leave it in square root form for precision until the last step. Let's solve the equation step by step:
- Begin with the equation * + √(12) = 22.
- Subtract √(12) from both sides to isolate the star (*): * = 22 - √(12).
- The solution for * is 22 - √(12).
Thus, the value of * is 22 minus the square root of 12, which can also be written as an approximate decimal if needed but it is most correctly left in its exact algebraic form.