
Minimally different surds by @shivmckena55 is a task which helps students to spot the underlying pattern of root 2 and root 3 in these common surds which we are required to evaluate. Possible extension is to ask learners to generate the sequence of surds which simplify to multiples of root 5 or root 7 etc. Another question might be where root 6 comes into all of this since its a multiple of both root 2 and root 3. We might ask students to order the surds on a number line. Vast scope beyond simply doing the evaluations.