OCR C1 2009 June — Question 2 4 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2009
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndices and Surds
TypeRationalize denominator simple
DifficultyEasy -1.2 This is a straightforward rationalizing the denominator question requiring only the standard technique of multiplying by the conjugate (2-√7)/(2-√7) and simplifying. It's a routine C1 exercise with a single clear method and minimal algebraic manipulation, making it easier than average.
Spec1.02b Surds: manipulation and rationalising denominators

2 Express \(\frac { 8 + \sqrt { 7 } } { 2 + \sqrt { 7 } }\) in the form \(a + b \sqrt { 7 }\), where \(a\) and \(b\) are integers.

2 Express $\frac { 8 + \sqrt { 7 } } { 2 + \sqrt { 7 } }$ in the form $a + b \sqrt { 7 }$, where $a$ and $b$ are integers.

\hfill \mbox{\textit{OCR C1 2009 Q2 [4]}}