| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Simplify numerical surds |
| Difficulty | Easy -1.2 This is a straightforward surd simplification question requiring only the basic technique of factoring out perfect squares (50 = 25×2, 8 = 4×2) and collecting like terms. It's a standard C1 exercise with minimal steps and no problem-solving required, making it easier than average. |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
| Answer | Marks |
|---|---|
| \(= \sqrt{25x^2} + 3\sqrt{4x^2} = 5\sqrt{2} + (3 \times 2\sqrt{2})\) | M1 A1 |
| \(= 11\sqrt{2}\) | A1 |
$= \sqrt{25x^2} + 3\sqrt{4x^2} = 5\sqrt{2} + (3 \times 2\sqrt{2})$ | M1 A1 |
$= 11\sqrt{2}$ | A1 |
**Total: 3 marks**
---Express $\sqrt{50} + 3\sqrt{8}$ in the form $k\sqrt{2}$. [3]
\hfill \mbox{\textit{Edexcel C1 Q1 [3]}}