SMO Junior · 1. Algebraic expressions, identities and radicals
Use identities, the sum–product ladder and careful square-root rules to turn heavy calculations into short exact ones.
Recognise square, cube and difference-of-squares identities in numerical expressions.
Compute symmetric expressions from the sum and product of two numbers.
Simplify nested square roots and decide signs correctly.
Evaluate polynomials at irrational numbers by lowering the degree.
Find sums of cube roots by cubing and factoring.