| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Moderate -0.8 This is a straightforward surds question testing difference of two squares and rationalizing denominators—both standard C1 techniques. The first part is a direct application of (a+b)(a-b)=a²-b², and the second requires multiplying by the conjugate, which is a routine textbook exercise requiring minimal problem-solving. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
Simplify $(3 + \sqrt{2})(3 - \sqrt{2})$.
Express $\frac{1 + \sqrt{2}}{3 - \sqrt{2}}$ in the form $a + b\sqrt{2}$, where $a$ and $b$ are rational. [5]
\hfill \mbox{\textit{OCR MEI C1 Q9 [5]}}