Algebra › Section H · Roots and radicals › Topic H.5
Dividing radicals and rationalizing
Dividing radicals is easy - the quotient property handles it in one line. The real ceremony comes after: mathematics refuses to call a fraction simplified while a radical lives in its denominator, and the eviction notice is served by multiplying by 1.
In this topic
- Division by the quotient property
- The full simplified checklist
- Rationalizing a square-root denominator
- Worked example: simplify before rationalizing
- Fractions inside the radicand
- Higher indexes: complete the perfect power
- Two-term denominators: conjugates
- Worked example: a conjugate rationalization
- Common mistakes to avoid
- Key takeaways
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