First, let's break down the formula. It consists of a square root function that takes the sum of 8 and the result of dividing 4 by x.
Let us calculate the value inside the square root since these operations are done first due to the order of operations (BIDMAS/BODMAS/PEDMAS rule).
First, we calculate the fraction 4 / 2, which equals 2. Then, we add this result to 8. So we get 8 + 2 = 10.
This means that the operation inside our square root equals 10, so now our expression looks like this:y = √10
The next step is to find the square root of 10. This yields a value approximately equal to 3.1622776601683795.
However, we were asked to provide the result correct to 4 decimal places. Therefore, we have to round this number to get our final result.
When we round 3.1622776601683795 to four decimal places, we get 3.1623.
Therefore, when x = 2, the value for y equals approximately 3.1623 when rounded to four decimal places.