Mathematics — first biennium · Lesson
Simplifying a radical means extracting perfect-square factors without changing the value of the expression.
Prerequisites: Real numbers, irrationals and powers
Goal: Simplify radicals by extracting perfect-square factors.
In this lesson: Simplify radicals by extracting perfect-square factors.
New concept: Simplifying a radical means extracting factors that are perfect powers of the root index. For a square root, for example, √(a²b)=|a|√b; in exercises with positive quantities the corresponding positive form is used.
How to proceed: Find the largest perfect square dividing the radicand; extract its square root and leave the remaining factor inside.
You can already assume: Real numbers, irrationals and powers.
Completed exercises: 0/5 · Correct on first attempt: 0
Find the largest perfect square dividing the radicand; extract its square root and leave the remaining factor inside.
Data / situation: Simplify √50.
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.