Moderate -0.8 This is a routine rationalising the denominator question requiring multiplication by the conjugate and simplification. The algebraic manipulation is straightforward, and the form to match is given explicitly. It's easier than average as it's a standard AS technique with no problem-solving element, though the specific form adds minor complexity beyond basic rationalisation.
Show that \(\frac{\sqrt{6}}{\sqrt{3} - \sqrt{2}}\) can be expressed in the form \(m\sqrt{n} + n\sqrt{m}\), where \(m\) and \(n\) are integers.
Fully justify your answer.
[4 marks]
Show that $\frac{\sqrt{6}}{\sqrt{3} - \sqrt{2}}$ can be expressed in the form $m\sqrt{n} + n\sqrt{m}$, where $m$ and $n$ are integers.
Fully justify your answer.
[4 marks]
\hfill \mbox{\textit{AQA AS Paper 1 2019 Q4 [4]}}