| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2023 |
| Session | October |
| Marks | 4 |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 This is a routine rationalizing the denominator question requiring multiplication by the conjugate and simplification. It's a standard algebraic manipulation with clear method and no problem-solving insight needed, making it easier than average but not trivial due to the arithmetic involved. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
In this question you must show detailed reasoning.
Express $\frac{8 + \sqrt{7}}{2 + \sqrt{7}}$ in the form $a + b\sqrt{7}$, where $a$ and $b$ are integers. [4]
\hfill \mbox{\textit{SPS SPS SM 2023 Q2 [4]}}