| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 This is a straightforward application of rationalizing the denominator by multiplying by the conjugate (3 + √7)/(3 + √7). It requires only one standard technique with minimal algebraic manipulation, making it easier than average and typical of basic C1 content. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
1 Express $\frac { 4 } { 3 - \sqrt { 7 } }$ in the form $a + b \sqrt { 7 }$, where $a$ and $b$ are integers.
\hfill \mbox{\textit{OCR C1 2008 Q1 [3]}}