| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Rationalize denominator simple |
| Difficulty | Easy -1.2 Part (a) is a straightforward simplification of a surd requiring factorization of 45 = 9×5. Part (b) is a standard rationalizing the denominator exercise requiring multiplication by the conjugate and simplification, which is routine C1 content. Both parts are textbook exercises with no problem-solving required, making this easier than average but not trivial due to the algebraic manipulation in part (b). |
| Spec | 1.02b Surds: manipulation and rationalising denominators |
\begin{enumerate}[label=(\alph*)]
\item Write $\sqrt{45}$ in the form $a\sqrt{5}$, where $a$ is an integer. [1]
\item Express $\frac{2(3 + \sqrt{5})}{(3 - \sqrt{5})}$ in the form $b + c\sqrt{5}$, where $b$ and $c$ are integers. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q5 [6]}}