Simplify the following conjugate:
| 5 | |
| 7-√3 |
Remove the radical in the denominator
Multiply top and bottom by the conjugate
| 5(7+√3) | |
| (7-√3)(7+√3) |
Simplify the denominator using FOIL:
7(7) - 7√3 + 7√3 - √3√3
Cancelling the 7√3 terms
| 5(7) - 5√3 | |
| 72 - √32 |
| 35 - 5√3 | |
| 49 - 3 |
| 35 - 5√3 | |
| 46 |
Final Answer
(35 - 5√3)/46
