S2 · Algebra · ALG.ROOTS
Roots and square roots
Roots and square roots
Intuition
Understand first, compress later.
Algebra describes structures generally: a symbol stands for a number, while the rules remain the same.
Switch representations
Number line0 … 10
Formal view
You can roots and square roots when you can recognise the underlying objects, select valid rules and check each step for equivalence or logical implication.
Why does it work?
This skill sits on a prerequisite network. If a step is unstable, repair the missing prerequisite instead of merely doing more items of the same type.