Overview
Read
Next Steps
Overview
Accuplacer Advanced Algebra and Functions
Radical and rational equations
13. Radical expressions
13.8 Dividing radicals
Dividing Radicals
Master dividing radicals using the quotient rule and learn how to rationalize the denominator so every radical expression ends up in simplest form.
What You'll Learn
Dividing radicals means combining the quotient rule, which lets you write one radical over another as a single radical of the quotient
A denominator that still contains a radical is not considered simplified, so it must be rationalized
To rationalize a single-term radical denominator, multiply top and bottom by a radical that completes a perfect power
To rationalize a two-term denominator, multiply top and bottom by its conjugate to clear the radical using a difference of squares
Always simplify the resulting radicals fully and reduce any common factors left in the fraction
Before You Start — Make Sure You Can:
This Unit Includes
Learning resources
TEST-PREP Curriculum Aligned