Enrich · Stage 5 · Indices C (Path)

Enrich Establish and apply the following results for x > 0 and y > 0: (√x)² = x = √(x²), √(xy) = √x × √y and √(x/y) = √x/√y

Extension and enrichment for students who are ready to go deeper: rich tasks, problem solving and open-ended challenges.

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More enrichment in Indices C (Path)

Rich tasks tagged to other dot points in this focus area.

• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Irrational Arithmagons
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Rational Roots
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Repetitiously
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Tiny Nines
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.