Easy -1.8 This is a routine surd simplification requiring only basic factorization of 27 and 192 into prime factors, then applying √(mn)=√m×√n. It's a straightforward recall exercise with no problem-solving element, simpler than typical A-level questions.
1 Show that $\sqrt { 27 } + \sqrt { 192 } = a \sqrt { b }$, where $a$ and $b$ are prime numbers to be determined.
\hfill \mbox{\textit{OCR MEI Paper 2 2018 Q1 [2]}}