Easy -1.2 This is a straightforward rationalize-the-denominator question requiring multiplication by the conjugate and simplification. It's a standard textbook exercise with a clear method (multiply by (3√2-4)/(3√2-4)), requiring only routine algebraic manipulation with no problem-solving insight needed. Easier than average A-level content.
6. You are not allowed to use a calculator for this question. Show detailed reasoning.
Show that \(\frac { 5 \sqrt { 2 } + 2 } { 3 \sqrt { 2 } + 4 }\) can be expressed in the form \(m + n \sqrt { 2 }\), where \(m\) and \(n\) are integers. [0pt]
[3 marks]
6. You are not allowed to use a calculator for this question. Show detailed reasoning.
Show that $\frac { 5 \sqrt { 2 } + 2 } { 3 \sqrt { 2 } + 4 }$ can be expressed in the form $m + n \sqrt { 2 }$, where $m$ and $n$ are integers.\\[0pt]
[3 marks]\\
\hfill \mbox{\textit{SPS SPS SM 2021 Q6 [3]}}