Moderate -0.8 This is a straightforward surd manipulation question requiring students to simplify √27 = 3√3, rationalize 6x/√3 = 2x√3, then solve a linear equation. It's routine algebraic manipulation with no conceptual challenges, making it easier than average but not trivial since it requires multiple standard steps.
2. Without using your calculator, solve
$$x \sqrt { 27 } + 21 = \frac { 6 x } { \sqrt { 3 } }$$
Write your answer in the form \(a \sqrt { b }\) where \(a\) and \(b\) are integers.
You must show all stages of your working.
2. Without using your calculator, solve
$$x \sqrt { 27 } + 21 = \frac { 6 x } { \sqrt { 3 } }$$
Write your answer in the form $a \sqrt { b }$ where $a$ and $b$ are integers.
You must show all stages of your working.\\
\hfill \mbox{\textit{Edexcel C12 2014 Q2 [4]}}