Moderate -0.3 This is an algebraic equation involving surds that requires systematic expansion, simplification using properties of radicals (√32 = 4√2, √24 = 2√6), collecting like terms, and solving for x. While it involves multiple steps and careful manipulation of surds, it follows a standard procedural approach without requiring novel insight—slightly easier than average due to being primarily technical manipulation rather than problem-solving.
In the question you must show detailed reasoning
Solve the equation below, giving your answer in the simplest form
$$x\sqrt{32} - \sqrt{24} = (3\sqrt{3} - 5)(\sqrt{6} + x\sqrt{2})$$
[3]
In the question you must show detailed reasoning
Solve the equation below, giving your answer in the simplest form
$$x\sqrt{32} - \sqrt{24} = (3\sqrt{3} - 5)(\sqrt{6} + x\sqrt{2})$$
[3]
\hfill \mbox{\textit{SPS SPS FM 2019 Q1 [3]}}