Display Title
Definition--Rationals and Radicals--Conjugate of a Radical
Display Title
Conjugate of a Radical
Topic
Rationals and Radicals
Definition
The conjugate of a radical expression is obtained by changing the sign between two terms in a binomial.
Description
In the context of Radical Numbers, Expressions, Equations, and Functions, the concept of conjugates is essential for simplifying expressions. When dealing with radicals, particularly in the denominator, multiplying by the conjugate can help to rationalize the expression. This process eliminates the radical from the denominator, making the expression easier to work with.
Conjugates are also useful in solving equations involving radicals and in various algebraic manipulations. They help in achieving a standard form that is often required for further mathematical operations.
For a complete collection of terms related to polynomials click on this link: Rationals and Radicals Collection
| Common Core Standards | CCSS.MATH.CONTENT.HSA.REI.A.2, CCSS.MATH.CONTENT.HSN.RN.A.1, CCSS.MATH.CONTENT.HSF.IF.C.7 |
|---|---|
| Grade Range | 8 - 12 |
| Curriculum Nodes |
Algebra • Radical Expressions and Functions • Radical Expressions |
| Copyright Year | 2022 |
| Keywords | radicals, radical expressions, rational numbers, rational expressions, definitions, glossary term, rational functions |
