Mathematics — first biennium · Lesson
Rationalizing means replacing a fraction with an equivalent one that has no radical in the denominator. Multiply numerator and denominator by the same non-zero factor.
Prerequisites: Radical operations and fractions
Goal: Rationalize simple monomial denominators while preserving equivalence and domain.
In this lesson: Rationalize simple monomial denominators while preserving equivalence and domain.
New concept: Rationalizing means obtaining an equivalent fraction with no radical in the denominator. Multiply numerator and denominator by the same non-zero factor, so the fraction's value does not change.
How to proceed: Multiply numerator and denominator by the same square root: √d·√d=d in the denominator, while the radical remains in the numerator. Then reduce any common numerical factors.
You can already assume: Radical operations and fractions.
Completed exercises: 0/5 · Correct on first attempt: 0
Multiply numerator and denominator by the same square root: √d·√d=d in the denominator, while the radical remains in the numerator. Then reduce any common numerical factors.
Data / situation: Rationalize 2/√7.
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.